The mean proportional between two numbers is 56 . If the third proportional of the same two numbers is 448 , then find the sum of the two numbers.

Question

The mean proportional between two numbers is 56 . If the third proportional of the same two numbers is 448 , then find the sum of the two numbers. (A) 180 (B) 440 (C) 240 (D) 140

Tardigrade Admin · Accepted Answer

(i) If b2=a c, then b is the mean proportional and c is the third proportional. (ii) Let the two numbers be a and b. (iii) a b=(56)2. (iv) b2=448 a.

Q. The mean proportional between two numbers is 56 . If the third proportional of the same two numbers is 448 , then find the sum of the two numbers.

180

440

240

140

(i) If $b^{2} = a c$ , then $b$ is the mean proportional and $c$ is the third proportional.
(ii) Let the two numbers be $a$ and $b$ .
(iii) $ab = (56)^{2}$ .
(iv) $b^{2} = 448 a$ .

Q. The mean proportional between two numbers is 56 . If the third proportional of the same two numbers is 448 , then find the sum of the two numbers.

180

440

240

140

(i) If b2=ac, then b is the mean proportional and c is the third proportional. (ii) Let the two numbers be a and b. (iii) ab=(56)2. (iv) b2=448a.

(i) If $b^{2} = a c$ , then $b$ is the mean proportional and $c$ is the third proportional.
(ii) Let the two numbers be $a$ and $b$ .
(iii) $ab = (56)^{2}$ .
(iv) $b^{2} = 448 a$ .