Given: a : b = 4: 3 b : c = 4: 5 Calculation: Taking (LCM of 3 and 4) = 12 a : b = 16 : 12 and b : c = 12 : 15 ⇒ a : b : c = 16 : 12 : 15 Let the three numbers be 16x, 12x and 15x ⇒ a2:b2:bc ⇒ (16x)2:(12x)2:(12x×15x) ⇒ 256 : 144 : 180 = 64 : 36 : 45 ∴ The value of a2:b2:bc is 64:36:45.