Question

The product of 3 numbers is 216 if the product of two numbers is 36 find the 3rd number

Answers

GPT-4o
Let's denote the three numbers by \(a\), \(b\), and \(c\).

From the problem, we know two things:
1. The product of the three numbers is \(216\):
\[ a \cdot b \cdot c = 216 \]
2. The product of two of the numbers is \(36\):
\[ a \cdot b = 36 \]

We need to find the value of the third number, \(c\).

We can solve this by dividing the product of the three numbers by the product of the two numbers:
\[
c = \frac{a \cdot b \cdot c}{a \cdot b} = \frac{216}{36}
\]

Perform the division:
\[
c = \frac{216}{36} = 6
\]

So, the third number \(c\) is \(6\).