Proportion Calculator
โก Solve proportions, scale recipes, calculate map distances & more! Instant step-by-step solutions for homework and real life.
The Ultimate Proportion Calculator
Master proportions with our free calculator! Solve basic proportions, scale recipes for any number of servings, calculate real distances from maps, or work with direct and inverse proportions. Every calculation includes step-by-step solutions to help you understand the math. Used by millions of students and home cooks worldwide.
Cross Multiplication
a/b = c/d โ a ร d = b ร cSolve any proportion by cross multiplying
Recipe Scaling
New Amount = Original ร (New Servings / Original Servings)Scale any ingredient proportionally
Map Scale
Real Distance = Map Distance ร Scale FactorConvert map measurements to real distances
Direct Proportion
y = kx, where k = y/xy increases as x increases
Inverse Proportion
xy = ky decreases as x increases
Examples
Solve: 3/4 = x/20
Scale recipe from 4 to 6 servings
Map scale 1:50000, 3cm = ?
Frequently Asked Questions
How do I scale a recipe?
Divide your desired servings by the original servings to get the scale factor. Multiply every ingredient by this factor. For example, scaling from 4 to 6 servings: 6รท4 = 1.5, so multiply all ingredients by 1.5.
How do I calculate real distance from a map?
Multiply the map measurement by the scale factor. For a 1:50000 map, 1cm on the map = 50000cm (500m) in real life. So 3cm on the map = 1.5km real distance.
What is the difference between direct and inverse proportion?
In direct proportion (y = kx), when x increases, y also increases. In inverse proportion (xy = k), when x increases, y decreases. Example: More workers = less days to finish (inverse).
Is this calculator free?
Yes! 100% free with no signup. Get instant step-by-step solutions for all your proportion problems.