RATIO & PROPORTION -
Ratio and proportion are related mathematical concepts used to compare quantities and establish relationships between them. While they are often used interchangeably, they have distinct meanings and applications:
For example, consider the following scenario:
Example.1) In a group of 20 people, 12 are men, and the rest are women. What is the proportion of men to women?
Using Ratios: The ratio of men to women is 12:8, or simplified to 3:2.
Using Proportions: We can set up a proportion to find the proportion of men to women:
12 men x men
------------ = -----------
8 women y women
12 * y = 8 * x
Now, if we know either the number of men (x) or women (y), we can solve for the other using this proportion.
In summary, ratios are used to compare quantities, while proportions are used to establish and solve equations that represent equal ratios. Both concepts are important in various mathematical and real-world applications, especially when dealing with relative quantities and unknown values.