The geometric mean of the observations x1, x2, x3, … xn is G1. The geometric mean of the observations y1, y2, y3,… yn is G2. The geometric mean of observations \(\frac{{{{\rm{x}}_1}}}{{{{\rm{y}}_1}}},\frac{{{{\rm{x}}_2}}}{{{{\rm{y}}_2}}},\frac{{{{\rm{x}}_3}}}{{{{\rm{y}}_3}}}, \ldots \frac{{{{\rm{x}}_{\rm{n}}}}}{{{{\rm{y}}_{\rm{n}}}}}\) is
1
G1G2
2
In(G1G2)
3
\(\frac{{{{\rm{G}}_1}}}{{{{\rm{G}}_2}}}\)
4
\({\rm{In}}\left( {\frac{{{{\rm{G}}_1}}}{{{{\rm{G}}_2}}}} \right)\)