What is a proportion? The statement that two ratios are equal is called a proportion. For example, 2 / 5 is a ratio and 4 / 10 is also a ratio.
Notice that 2 / 5 = 0.4 and 4 / 10 = 0.4
Since 2 / 5 and 4 / 10 are equal to the same number or decimal, we call the equation 2 / 5 = 4 / 10 a proportion.
1 / 2 = 5 / 10
1 / 3 = 2 / 6
5 / 7 = 15 / 21
3 / 4 = 6 / 8
1 / 9 = 3 / 27
5 / 2 = 15 / 6
A classroom has 6 males and 9 females while a movie theater has 100 males and 150 females. Does this situation form a proportion?
The ratio of males to females in the classroom 6 / 9 = 0.666666
The ratio of males to females in the movie theater 100 / 150 = 0.666666
Therefore, 6 / 9 = 100 / 150 is a proportion since both 6 / 9 and 100 / 150 are equal to the same number or 0.666666.
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