Proportion (Including Word Problems)
A proportion shows that two ratios are equal, helping us solve problems involving scaling quantities up or down.
Core concept
A proportion is written as two equal ratios, like 2:3 = 4:6, showing both ratios represent the same relationship.
How it works
We can solve for an unknown value in a proportion using cross multiplication, like solving 2:3 = x:9.
Why it matters
Proportions are used to solve real-life problems, like scaling a recipe for more people or converting between units.
Key detail
Understanding proportions helps us make accurate comparisons and predictions based on known relationships between quantities.
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Quick notes
• A proportion shows two equal ratios.
• Example: 2:3 = 4:6.
• We solve unknowns using cross multiplication.
• 2:3 = x:9 can be solved this way.
• Proportions help scale recipes.
• They help convert between units.
• Proportions make accurate predictions.
• They compare known relationships between quantities.