Question

729:3::64:?
what should be ? here
​

Answer 1

Answer:

2

Step-by-step explanation:

The logic is as follows:

3^6=729

2^6=64

Answer 2

Given ratio :-

• $\tt 729 : 3 :: 64 : x$

Here, we assumed the missing number which can be inserted in the ratio as x.

Calculation :-

Knowledge required :

Whenever we are solving these types of equations in which it is asked for calculating the value of x in the given ratios, we need to apply this method and need to solve further :-

$\underline{ \boxed{ \sf{Product \: of \: extremes = Product \: of \: means}}}$

Ratio :

$\bf 729 : 3 :: 64 : x$

Here,

• Product of extremes = 729 × x
• Product of means = 3 × 64

Now, simplifying,

⇒ 729/3 = 64/x

• By cross multiplication

⇒ 729x = 64 × 3

⇒ 729x = 192

⇒ x = 192/729

⇒x = 64/243

Thus, the value of x (?) is 64/243.