If p : q = 3 : 4 and q : r= 8 : 9, then p : r is:

To find the ratio p : r, we need to multiply the two given ratios.

Step 1: Write down the given ratios. p : q = 3 : 4 q : r = 8 : 9

Step 2: Multiply the ratios. To do this, multiply the first term of the first ratio (p) with the first term of the second ratio (q), and the second term of the first ratio (q) with the second term of the second ratio (r).

This gives us: p : r = 3 * 8 : 4 * 9

Step 3: Simplify the ratio. p : r = 24 : 36

Step 4: Simplify the ratio to its lowest terms. p : r = 2 : 3

So, the ratio p : r is 2 : 3.