Math Calculators

Ratio Calculator

Solve a proportion when one value is missing. Enter a known ratio A : B and one side of the new ratio, and the calculator finds the other side by cross-multiplication.

C corresponds to
Missing value D1,080
Proportion
16 : 9 = 1,920 : 1,080
Scale factor
120×
Step-by-step working
  1. Set up the proportion: A/B = C/D
  2. Cross-multiply and solve for D
  3. D = C × B ÷ A = 1,920 × 9 ÷ 16 = 1,080

How to use the Ratio Calculator

  1. Enter the known ratio as A and B.
  2. Enter the new value C and say whether it replaces A or B.
  3. Press Calculate to find the missing value.

Formula

If A : B = C : D, then A × D = B × C, so D = B × C ÷ A.

Examples

  • Screen size: 16 : 9 at 1,920 px wide → 1,920 × 9 ÷ 16 = 1,080 px tall.
  • Recipe: 2 cups flour for 3 eggs; with 5 eggs → 5 × 2 ÷ 3 = 3.33 cups.

Frequently asked questions

Is a ratio the same as a fraction?

A two-part ratio A : B can be written as the fraction A/B, but ratios can also have three or more parts, like 1 : 2 : 3 for a concrete mix.

How do I simplify a ratio?

Use the Ratio Simplifier, which divides all parts by their greatest common divisor.