If 2 , 64 , 86 , and y are in proportion, then the value of y is:

Correct option is C

Given:

The numbers 2, 64, 86, and y are in proportion.

Concept Used:

In a proportion, the product of the means is equal to the product of the extremes.

That is, if a, b, c, d are in proportion, then:

​$$\frac{a}{b} = \frac{c}{d}$$​​

​$$a \times d = b \times c$$​​

Solution:

For the proportion

​$$\frac{2}{64} = \frac{86}{y}$$​​

2 × y = 64 × 86

2 × y = 5504

y = $$\frac{5504}{2}$$​ = 2752