Find the third proportion of 8,24, ? 60Options :20302439
Question
Find the third proportion of 8,24, ? 60Options :20302439
Solution 1
The third proportion can be found using the formula for proportions. In a proportion, the product of the extremes (first and fourth terms) is equal to the product of the means (second and third terms).
So, if the first term is a, the second term is b, the third term is c, and the fourth term is d, then the proportion is a:b = c:d. This can be written as a/b = c/d, or ad = bc.
Given that a = 8, b = 24, and d = 60, we can substitute these values into the formula to find c.
So, 8 * 60 = 24 * c 480 = 24c c = 480 / 24 c = 20
So, the third proportion of 8, 24, and 60 is 20.
Solution 2
The third proportion can be found using the formula for proportions. In a proportion, the product of the extremes (first and fourth terms) is equal to the product of the means (second and third terms).
So, if the first term is a, the second term is b, the third term is c, and the fourth term is d, then the proportion is a:b = c:d. This can be written as ad = bc.
In this case, a = 8, b = 24, and d = 60. We need to find c.
So, we have 860 = 24c.
480 = 24*c.
To solve for c, divide both sides by 24.
c = 480 / 24.
c = 20.
So, the third proportion of 8, 24, and 60 is 20.
Solution 3
The third proportion can be found using the formula for proportions. In a proportion, the product of the extremes (first and fourth terms) is equal to the product of the means (second and third terms).
So, if the first term is a, the second term is b, and the third term is x, we have:
a/b = x/60
Substituting the given values:
8/24 = x/60
Solving for x gives:
x = (8 * 60) / 24
x = 20
So, the third proportion of 8, 24, and 60 is 20.
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