What is the ratio between the third proportional of 36 and 48 to the third proportional of 49 and 64?
49:64
The third proportional of a and b is \(\dfrac{b^2}{a}\).
Third proportional of 36 and 48: \(\dfrac{48^2}{36} = \dfrac{2304}{36} = 64\).
Third proportional of 49 and 64: \(\dfrac{64^2}{49} = \dfrac{4096}{49}\).
The required ratio is \(64 : \dfrac{4096}{49} = 3136:4096\), which simplifies to \(49:64\).
Hence, the required ratio is 49:64.
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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 ?
