Three-Part Ratio Calculator
Easily compare, simplify, and scale three quantities simultaneously. Enter any three numbers to find their simplest ratio form using greatest common divisor reductions, see exact percentage breakdowns, and scale proportions.
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What is a Three-Part Ratio?
A three-part ratio (written as A : B : C) compares three distinct quantities simultaneously. Unlike standard two-part ratios, a three-part ratio maintains mutual proportionality across three terms, making it essential for recipes, chemical formulations, concrete mixes, and multi-partner equity sharing.
Simplifying a three-part ratio involves finding the Greatest Common Divisor (GCD) of all three numbers and dividing each term by that common factor. For example, the ratio 12 : 18 : 24 shares a common divisor of 6, simplifying cleanly down to 2 : 3 : 4.
Fórmulas e Equações Utilizadas
Esta Three-Part Ratio Calculator usa 5 equações principais:
1 Three-Term Ratio Simplification ▼
Find the GCD of numbers A, B, and C, then divide each term by the GCD to express the ratio in simplest integer form.
2 Proportion Percentage Formula ▼
Determine the exact fractional share of each component relative to the whole by dividing each part by the sum of all three parts.
3 Three-Part Scaling Multiplier ▼
Multiply each ratio term by a constant scaling factor to expand or reduce the total amount while preserving perfect proportionality.
Explore all calculation options on the Calculadora de Proporção home page.
Como Usar esta Calculadora
Para usar esta Calculadora de Proporção, siga 3 passos:
Insira os Valores
Digite os valores conhecidos nos campos de entrada. Deixe um campo vazio — esse é o valor desconhecido que a Calculadora de Proporção irá resolver.
Escolha o Modo
Selecione o modo de proporção — Resolver, Simplificar ou Redimensionar. Cada modo aplica equações diferentes aos seus valores de entrada.
Obtenha os Resultados
Clique em Calcular. A tela de resultados exibe a resposta com uma barra de proporção visual, um gráfico de pizza e um detalhamento da solução passo a passo.
Problemas de Exemplo e Soluções Passo a Passo
Aqui estão 3 problemas de exemplo com soluções passo a passo usando esta Calculadora de Proporção:
Entrada 1 Simplify 45 : 60 : 75
Entrada 2 Calculate percentage distribution for 2 : 3 : 5
Entrada 3 Scale 3 : 2 : 1 recipe for 600 grams total
Perguntas Frequentes
How do you simplify a three-number ratio? ▼
Find the greatest common divisor (GCD) of all three numbers, then divide each of the three terms by that common number.
Can a ratio have three parts? ▼
Yes, ratios can compare three, four, or any number of quantities written with colons like A : B : C.
How do you divide an amount into three parts using a ratio? ▼
Add the three ratio numbers together to get total parts, divide your total amount by the sum of parts to find one unit part, then multiply each ratio number by that unit value.
What if one of the three numbers in a ratio is a fraction? ▼
Multiply all three terms by the least common multiple (LCM) of the denominators to clear all fractions into whole numbers.
How do you convert a 3-part ratio to percentages? ▼
Add the three terms to find the total parts, then divide each term by the total parts and multiply by 100%.