Proportion Calculator - Solve, Verify & Understand Ratios Instantly
Solve proportions, check proportionality, scale ratios, simplify ratios, and calculate direct and inverse variations.
Leave x empty to solve for the missing value
Calculation Results
Enter values for a, b, and c to solve the proportion a/b = c/x
Related & Other Popular Calculators
The free and online Proportion Calculator enables you to find the missing value in a proportion, test proportionality, and see the relationship between different quantities in just seconds. This calculator streamlines working with proportions and ratios whether it is doing algebraic math of a value of any size, scaling a recipe, figuring a distance via a map scale, or just doing old fashion conversions in real life.
What is a Proportion?
A proportion is an equation showing that two ratios are equal.
For example: a/b = c/d
This means that a is to b as c is to d.
When one of these four values is missing, the Proportion Calculator quickly finds it using the cross multiplication method - a standard proportion solver technique.
How to use the Proportion Calculator
The tool automatically applies the direct proportion formula or inverse proportion formula depending on the relationship type you select.
Why Choose Our Proportion Calculator?
Simplify your ratio-based calculations today with the all-in-one Proportion Calculator - your reliable proportion solver and proportional relationship calculator for math, science, and daily life.
Proportion Calculator Features
Formula for Ratio and Proportion
The formula for ratio and proportion is:
a ÷ b = c ÷ d
To find the proportion or missing value:
x = ( b x c ) ÷ a
This formula helps you solve any proportion equation using a few simple steps - no manual calculations needed.
Understanding Direct and Inverse Proportion
You can explore both cases easily with our proportional relationship calculator, which acts as both a direct and inverse proportion calculator.
Example of a Proportion Equation
Let's solve:
4 ÷ 6 = 12 ÷ x
Step 1: Cross-multiply → 4 × x = 6 × 12
Step 2: x = 72 ÷ 4 = 18
Answer: x = 18
This example shows how the solving proportions calculator simplifies ratio problems with accurate and instant solutions.
Common Use Cases of Proportion Calculator
If you are a student, teacher or engineer, our ratio and proportion calculator helps with efficiency and saves valuable time.
FAQs
Proportion calculator can be used to find the missing values in proportions, check proportionality, and solve ratio based equations using cross multiplication and proportionality.
To find the proportion, we can use the formula a/b=c/x. In this case, we would cross multiply and then divide to isolate our x term, which will yield x =(bxc)/a. Alternatively, you can use our proportion solver to complete the same process instantly.
The formula for ratio and proportion is a:b=c:d, which can also be written as a/b=c/d. This works for solving all proportion equations.
Direct proportion is when both quantities increase and/or decrease together (as one goes up, the other goes up). In inverse proportion, as one quantity increases, the other decreases (as one goes up, the other goes down). You can calculate both using our solving proportion calculator ratio function.
Absolutely! Solve proportions calculator is perfect for map scale, recipe conversions, and unit conversions via direct proportion formula.
The inverse proportion formula is axb=k (a constant). You can use our inverse proportion calculator to quickly find one variable when the other changes.