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Proportion Calculator

Type any three of the four numbers in a proportion (a : b = c : d) and this calculator solves for the missing one.

:=:
Missing value (d)15

Enter 3 of the 4 values (a : b = c : d) and leave the one you want to find empty.

How to solve a proportion by hand

  1. Write the proportion as two equal fractions: a/b = c/d.
  2. Cross-multiply: multiply diagonally across the equals sign, giving a × d = b × c.
  3. Divide both sides by the number next to the unknown to leave it on its own.

Exemple résolu

Solve 2 : 3 = 10 : x. Cross-multiply: 2 × x = 3 × 10, so 2x = 30, and x = 15.

Solve proportions, percentages and every other formula with your own numbers in Formules mathématiques.

Foire aux questions

What is a proportion in maths?

A statement that two ratios are equal, written a : b = c : d (or a/b = c/d). It means the two pairs of numbers scale by the same factor.

How do you solve a proportion for a missing value?

Cross-multiply: a/b = c/d means a × d = b × c. Then divide both sides by whichever number is next to the unknown to isolate it.

What is the cross-multiplication rule?

For a/b = c/d, multiply diagonally: a × d = b × c. This turns the proportion into a simple one-step equation for the missing value.

If 2 is to 3 as 10 is to what number?

Set up 2/3 = 10/x. Cross-multiply: 2x = 30, so x = 15.

Ouvrez le Formules mathématiques