two numbers x and y
harmonic mean: ( 2/(1/x+1/y) )=75 re-arranging
2 (x * y)/(x+y) = 75
arithmetic mean :
(x+y)/2 = 2700 re-arranging
y = 5400- x sub this into red equation
2x(5400-x)/5400 = 75 re - arrange to
2 x^2 -10800x + 405000 = 0 Quadratic Formula shows x = 5362.24 and y = 37.76
Geometric mean: sqrt (x*y) =~ 450
(Thanx Guest for noticing my error....I have corrected this post)