proportion
A proportion is a mathematical relationship between two quantities that are equal
A proportion is a mathematical relationship between two quantities that are equal. In other words, it is an equation stating that two ratios are equivalent. It helps to compare quantities and determine if they are in the same proportion or not.
A proportion is typically written in the form of a fractional equation:
a/b = c/d
Here, ‘a’ and ‘b’ are one pair of quantities, while ‘c’ and ‘d’ are another pair of quantities. The terms ‘a’ and ‘d’ are called the extremes, while ‘b’ and ‘c’ are called the means.
To solve a proportion, we can use cross-multiplication. This involves multiplying the means and the extremes, and then setting the products equal to each other.
For example, consider the proportion:
3/4 = 6/x
To solve for ‘x’, we can cross-multiply:
3x = 4 * 6
3x = 24
Dividing both sides by 3, we get:
x = 8
Hence, the proportion is satisfied when x equals 8.
Proportions can also be used to solve problems in various real-life situations, such as scaling up or down quantities, finding unknown values, or determining equivalent ratios.
Remember that when setting up a proportion, it is important to ensure that the quantities being compared are in the same units or are properly converted to the same units for accurate comparisons.
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