Ratio of 3 Numbers Calculator
Calculate, simplify, and analyze ratios between three numbers with step-by-step solutions
Calculate Ratio of 3 Numbers
The first number in A : B : C
The second number in A : B : C
The third number in A : B : C
Current Ratio: 0 : 0 : 0
Results
Percentage Distribution
Example Calculations
Example 1: Cake Recipe
Problem: 100g butter : 200g sugar : 400g flour
GCD: 100
Simplified: 1 : 2 : 4
Meaning: Need 2× sugar as butter, 4× flour as butter
Example 2: Money Division
Problem: Divide $50 in ratio 2 : 3 : 5
Total parts: 2 + 3 + 5 = 10
Each part: $50 ÷ 10 = $5
Distribution: $10, $15, $25
Example 3: RGB Colors
Problem: 120 : 180 : 60 (RGB values)
GCD: 60
Simplified: 2 : 3 : 1
Meaning: Color ratio of red:green:blue
Example 4: Mixture Ratios
Problem: 4 : 6 : 10 (chemical mixture)
GCD: 2
Simplified: 2 : 3 : 5
Meaning: Simplified chemical proportions
3-Number Ratio Guide
Three-Way Ratio
A:B:C compares three quantities simultaneously
Simplification
Divide all three by their GCD
Proportion
Sum of parts divides the whole
Applications
Recipes, mixtures, profit sharing
Calculation Methods
Find GCD of all three numbers
Divide each by GCD to simplify
Transform to 1:n:m or n:1:m forms
Scale by multiplying all by factor
Find equivalent ratios for proportions
Understanding Ratios of Three Numbers
What are Three-Number Ratios?
A ratio of three numbers A:B:C shows the relationship between three quantities. It tells us how many times larger or smaller each quantity is compared to the others. This is essential for recipes, mixtures, profit sharing, and many other applications.
Simplification Process
- Find factors of all three numbers
- Identify the Greatest Common Divisor (GCD)
- Divide all three numbers by the GCD
- The result is the simplified ratio
Real-World Applications
Cooking & Baking
Recipe ingredient proportions and scaling
Business
Profit sharing, investment ratios, cost allocation
Science
Chemical mixtures, solution concentrations
Art & Design
Color mixing, proportion guidelines
Types of Three-Number Ratio Operations
Simplification
Reduce to lowest terms using GCD of all three
Specific Forms
Transform to 1:n:m, n:1:m, or n:m:1 format
Scaling
Multiply all parts by the same factor
Equivalent
Find missing values in proportions
Distribution
Calculate percentage shares of total