What is the difference between a ratio and a proportion?
A ratio compares two quantities (3:4); a proportion states that two ratios are equal (3:4 = 9:12) and is what you solve for a missing value.
Simplify ratios, solve proportions, and find equivalent ratios. Enter any two numbers to see the simplified ratio and scaling.
Simplify a:b by dividing both by their GCD. Solve a:b = c:x with x = b × c ÷ a. Share a total T in a:b as T × a ÷ (a+b) and T × b ÷ (a+b).
18:24 simplifies to 3:4. Sharing $700 in a 3:4 ratio gives $300 and $400. Scaling 3:4 up so the first part is 12 makes the second part 16.
A ratio compares two quantities (3:4); a proportion states that two ratios are equal (3:4 = 9:12) and is what you solve for a missing value.
Divide each part by the total. In 3:4, the total is 7, so the parts are 42.9% and 57.1%.
Multiply every part by the same factor. Keeping the ratio constant is what preserves the result — changing one part alone changes the mix.