What are the proportions of the elements of mercury and sulfur in this compound?

Mercury (II) sulfide aka HgS
You should be more specific of what kind of ratio you want.
If you just want the molar ratio of Mercury to Sulfur, its 1:1 (should be obvious from formula)

If you want the mass ratio you have to do a little math.
Molar mass of Hg =200.59
molar mass of S = 32.065
Mercury/Sulfur=200.59/32.065
ratio=6.25573
 
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