Question 1041245
I found this on the net:
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" In general, if you want to insert X geometric means between A and B, divide A and B (B/A). 
Then find its (X + 1) th root of B/A. That is the common 
ratio, then multiply the common ratio by A or 
until you have finished inserting all geometric means. "
Following this:
{{{ B/A = 648/8 }}}
{{{ B/A = 81 }}}
The {{{ X + 1 }}}th root would be the 4th root, so
{{{ root( 4,81 ) = 3 }}}
{{{ 8*3 = 24 }}}
{{{ 3*24 = 72 }}}
{{{ 3*72 = 216 }}}
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the 3 geometric means are: 24, 72 and 216
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check answer:
Is {{{ 3*216 = 648 }}} ?
yes
OK