If the third proportional to two numbers is 32 and the second number is 16, find the first number.
8
If \(c\) is the third proportional to \(a\) and \(b\), then \(a : b = b : c\), which gives \(c = \dfrac{b^2}{a}\).
Here the second number \(b = 16\) and the third proportional \(c = 32\).
Substitute into the relation: \(32 = \dfrac{16^2}{a} = \dfrac{256}{a}\).
Solve for \(a\): \(a = \dfrac{256}{32} = 8\).
Hence, the first number is 8.
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Important Questions from Third Proportional
What is the third proportional to 9 and 36?
What is the third proportional to 16 and 40?
When the same number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number subtracted is:
If L : M = 3 : 5 and M : N = 2 : 3, then N : L = ?
A. 2 : 1
B. 5 : 2
C. 3 : 2
D. 1 : 2
What is the third proportional to 16 and 24 ?
