Question

Find the third proportional of 16 and 20​

Answer 1

Step-by-step explanation:

Let X be the third proportional to 16 and 20, then

16, 20, 20, X in proportion

16: 20 :: 20: X

16 × X = 20 × 20

X = 20 × 20/ 16

X = 5 × 5 = 25

Hence required third proportional = 25

Answer 2

Answer:

ᴛᴏ ғɪɴᴅ :

• the third proportional of 16 and 20

sᴏʟᴜᴛɪᴏɴ :

Let the third proportional of 16 and 20 be x.

Then 16, 20, x are in proportion.

This means 16 : 20 = 20 : x

So, 16 × x = 20 × 20

x = $\sf{\frac{(20 × 20)}{16}}$

x = $\sf{\frac{400}{16}}$

x = 25

Therefore, the third proportional of 16 and 20 is 25.