Ratio and Proportion: Basic to Moderate Ratio A ratio is a comparison of two quantities that are in the same units. For example, if you have two quantit...
Ratio and Proportion: Basic to Moderate
Ratio
A ratio is a comparison of two quantities that are in the same units. For example, if you have two quantities, A and B, and you know that the ratio of A to B is 2:3, this means that for every 2 units of A there are 3 units of B.
Proportion
A proportion is a ratio that is equal to another ratio. For example, if the ratio of A to B is 2:3 and the ratio of B to C is also 2:3, this means that the ratio of A to C is also 2:3.
Variation
Variation is the amount of change in a quantity. For example, if the ratio of A to B is 2:3, and A increases by 5 units, B will also increase by 5 units. This means that the variation in A is 5 units, and the variation in B is also 5 units.
Relationship between Ratio, Proportion and Variation
Ratio, proportion and variation are related concepts that are used to describe the relative sizes of quantities. For example, if you know the ratio of two quantities, you can use this information to calculate their respective proportions and variations.
Examples
Ratio: If the ratio of apples to oranges is 3:2, this means that for every 3 apples there are 2 oranges.
Proportion: If the ratio of apples to oranges is equal to 2:3, this means that for every 2 apples there are 3 oranges.
Variation: If the ratio of apples to oranges is 3:2, and the ratio of oranges to bananas is also 3:2, this means that the ratio of apples to bananas is also 3:2