Question

The ratio x:8 is equivalent to the ratio 27:x^2. What is the value of x?

Answer 1

We are given that the following ratios are equivalent:

`\begin{gathered} x\colon8 \\ 27\colon x^2 \end{gathered}`

This means that the following relationship holds:

`(x)/(8)=(27)/(x^2)`

Now, to solve for "x" we can cross multiply the equation:

`x* x^2=27*8`

Solving the operations:

`x^3=216`

Now we take the cubic root to both sides:

`x=\sqrt[3]{216}`

Solving the operation:

`x=6`

Therefore, the value of "x" is 6.