AI Proportion Solver

Cross-multiply, solve, check. Any proportion, done.

Solve any proportion a/b = c/d for the unknown with cross-multiplication step-by-step. AskSia handles direct, inverse, and joint variation, plus word problems with proportional reasoning, and includes a substitution check on every solve.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia proportion solver?

The AskSia proportion solver is an AI tool that solves any proportion a/b = c/d for an unknown variable. AskSia cross-multiplies (ad = bc), solves the resulting equation, and checks by substituting the answer back into the original proportion. AskSia also handles direct proportion (y = kx), inverse proportion (y = k/x), and joint variation (y = kxz), finding the constant of variation and using it to solve for any missing value. Word problems with proportional reasoning are translated automatically.

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

Every proportion type, cross-multiplied right.

Most proportion mistakes come from setting up the wrong cross-multiplication. AskSia gets the setup right first, then shows the algebra step-by-step.

Cross-multiplication shown clearly

For a/b = c/d, AskSia multiplies both sides by bd to get ad = bc. The cross-multiplication step is labeled explicitly so you can see why it works (multiplying by bd cancels both denominators), not just that it works.

Cross-multiplication

Direct proportion: y = kx

Given y is directly proportional to x and one (x, y) pair, AskSia finds the constant of variation k, then uses y = kx to find any missing value. Useful for scaling problems and Hooke's law-type setups.

Direct variation

Inverse proportion: y = k/x

Given y is inversely proportional to x, AskSia finds k from a known pair and uses y = k/x to find missing values. Useful for Boyle's law-type problems where two quantities multiply to a constant.

Inverse variation

Joint and combined variation

For y = kxz (joint) or y = kx/z (combined), AskSia finds k from one full data row and uses it on others. The constant of variation is named, and the substitution is shown.

Joint and combined

Word problem translation

Word problems with 'directly proportional,' 'inversely proportional,' or implicit proportions (recipes, scale models, map distances) are translated into the right proportion or variation equation automatically.

Word problems

Substitution check at the end

After solving, AskSia substitutes the answer back into the original proportion and verifies both sides match. The check catches arithmetic errors before you submit.

Verified by substitution
How It Works

Three taps to a solved proportion.

Step 01

Capture the proportion

Snap a photo, paste, or type the proportion or word problem. AskSia reads a/b = c/d notation, fraction bars, and phrasings like 'y varies directly with x.'

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Watch Sia cross-multiply and solve

AskSia cross-multiplies (ad = bc) and solves the resulting equation for the unknown. Each step is named so you can apply the method on the next problem.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the check

AskSia substitutes the answer back into the original proportion and confirms both sides are equal. Generate practice problems or ask follow-up questions.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

Solve anywhere
you study.

Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
app.asksia.ai/solver
Hi! What are we studying today?
Ask about your homework, lecture, or readings...
Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
AskSia
+
What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Every proportion use case.

📐

Middle school proportions

First-time proportion problems with small integer values. AskSia explains cross-multiplication in language that matches middle school textbooks, with the check shown explicitly.

Middle school
⚛️

Algebra 1 and 2 variation problems

Direct and inverse variation problems with the constant k found from a given (x, y) pair. AskSia then uses the equation to find any missing value.

Algebra 1 and 2
🧪

Word problems with proportions

Recipe scaling, map distances, currency conversion, similar triangles, and unit conversions. AskSia identifies the proportion in the prose and sets up the cross-multiplication.

Word problems
🧬

Joint and combined variation

Problems where y depends on two or more variables (y = kxz, y = kx²/z). AskSia handles the multi-variable case and finds k from a full data point.

Joint variation
💻

SAT, ACT, GRE proportions

Proportion problems are SAT, ACT, and GRE staples. After any solve, generate practice problems at the right difficulty level for your target exam.

SAT, ACT, GRE
🎯

Scaling and similar figures

Similar triangles, scale models, and map problems all reduce to proportions. AskSia handles the geometric setup and the algebra together.

Similar figures
Compare

AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

How does AskSia solve a proportion a/b = c/d?
AskSia uses cross-multiplication: multiply both sides by the product bd, which cancels the denominators on each side and gives ad = bc. The cross-multiplication step is shown explicitly with the cancellation, so you can see why it works, not just that it works. Once you have ad = bc, AskSia solves the resulting linear equation for the unknown variable, then checks the answer by substituting back into the original proportion and confirming both fractions are equal. The check appears at the end of every solve.
What is direct proportion and how does AskSia handle it?
Two quantities are directly proportional if they're related by y = kx, where k is the constant of variation. When y increases, x increases by the same factor; when y doubles, x doubles. AskSia finds k by using a given (x, y) pair: divide y by x. Once k is known, AskSia can find y for any new x, or x for any new y. Examples include earnings as a function of hours worked (k is the hourly rate) and the length of a spring as a function of force (Hooke's law).
What is inverse proportion and how is it different from direct?
Two quantities are inversely proportional if they're related by y = k/x (or equivalently xy = k). When x doubles, y halves; the product is constant. AskSia finds k by multiplying a given (x, y) pair, then uses y = k/x to find any missing value. The classic example is pressure and volume of a gas at constant temperature (Boyle's law), or speed and time for a fixed distance. AskSia distinguishes direct from inverse based on the word problem phrasing and confirms which case applies.
Can AskSia solve proportion word problems?
Yes. Word problems with explicit phrasing like 'y is directly proportional to x' or 'y varies inversely with x' are translated directly into y = kx or y = k/x. Word problems with implicit proportions (recipe scaling, currency conversion, map distances, similar figures) are also handled: AskSia identifies the two ratios that should be equal, sets up the proportion a/b = c/d, cross-multiplies, and interprets the numerical answer back in the original context.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
Start Today

Any proportion. Solved, checked, explained.

Join 2M+ students using AskSia to solve proportions and variation problems with cross-multiplication, the constant of variation found cleanly, and a substitution check on every solve.

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