Ratio Calculator

Fast, accurate and free online proporcji calculator tool running directly in your browser.

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Instructions

1

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2

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3

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                                                  return "Result ready in 0.1s";

                                                }

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Proportion Calculator - Rule of Thirds and Inverse

A proportion is the equation of two products: a/b = c/d (i.e. a:b = c:d). The rule of three is an essential calculation tool used in cooking, construction, finance and science. Enter three known values - the calculator will find the fourth.

proportion calculator rule of three calculate proportions recipe scaling calculator

Types of proportions

Simple proportion: the more A, the more B. 2 kg of flour for 20 rolls → how much flour for 50 rolls? (2×50/20=5 kg). The inverse proportion: the more A, the less B. 4 workers in 6 days → how many days with 8 workers? (4×6/8=3 days). Complex proportion: more variables (speed × time = distance).

Formulas and calculations

a:b = c:d → a×d = b×c (product of marginal = product of middle). We are looking for d: d = (b×c)/a. We are looking for a: a = (b×c)/d. Percentage proportion: 20% of 150 = (20×150)/100 = 30. Rule of three: value = (known proportion × target) / base.

Applications in everyday life

Cooking recipes: convert a recipe for 4 people into 10. Scaling of drawings: map at a scale of 1:100000. Currency and unit conversion: 1 USD = 3.95 PLN → 250 USD = ? PLN. Solution concentrations: 30ml of agent per 2L of water → for 5L. Calculations of paints and building materials. Conversion of sports nutrition products (to body weight).

Advanced Applications

Percentage and proportion: 3% = 3/100. Calculating percentages by proportion. Scale on the map: actual distance = distance on the map × scale denominator. Exchange rate: simple proportion. Calculations of distance, speed, time: d = v × t as a complex proportion.

Frequently asked questions

What is the golden ratio (golden ratio)?

Golden ratio φ = (1+√5)/2 ≈ 1.618. Proportion a:b = b:(a+b). Found in nature (spirals, leaves), architecture (Parthenon) and art. Golden rectangle: side ratio 1:1.618. Fibonacci sequence: successive quotients of adjacent numbers converge to φ.

How to calculate the rule of three in your head?

Crossword Method: Write the proportion as a fraction on both sides of the = sign. Cross multiply and divide by the second value. Example: 5 km → 25 min, 12 km → ? min. 25×12/5 = 60 min. Mnemonic: multiply diagonally, divide by the remainder.

What is the difference between proportion and scale?

Scale is a type of ratio: the distance on the map/model to the actual distance. Scale 1:10,000: 1 cm on the map = 10,000 cm = 100 m in reality. The ratio calculator solves both.

How are proportions used in statistics?

Interest (proportion): part/whole. Odds ratio: comparison of proportions in two groups. Standardization: conversion of results between scales. χ² (chi-square) test: comparing observed and expected proportions.

How to use ratios in baking recipes?

Basic proportions of sponge cake: eggs: sugar: flour = 1: 1: 1 (by weight). For 6 eggs (300g): 300g sugar + 300g flour. Proportion of yeast to flour: 1g of dried yeast per 100g of flour. The tool automatically recalculates for any number of servings.

Related tools: percentage calculator, right triangle calculator and unit converter.