I'm unsure if this is trivial, but I've never come across it before.
With the above definition of g, then the following relationship is true.
g/a = b/g
g = sqrt(145) = ~12.04159457879229548013
g/5 = ~2.40831891575845909603
29/g = ~2.40831891575845909603
g = sqrt(7463) = ~86.38865666278183307262
g/17 = ~5.08168568604599018074
439/g = ~5.08168568604599018074
g = sqrt(93801) = 306.26948917579106446528
g/3 = ~102.08982972526368815509
31267/g = ~102.08982972526368815510