determine if the following ratios form a porportion.

Yes; the following ratios:
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     ;
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do, in fact, form a proportion.
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Note that the fraction, or proportion, "", cannot be reduced further into whole numbers.
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We are given:  
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   .
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The question is: Can "" be further reduced into whole numbers—specifically, does "" EQUAL ""  ?
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→ 16/24 =?  2/3 ?
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→ (16 ÷ 8) / (24 ÷ 8) = (2) / (3) = 2/3 . Yes.
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→  As such,    ; and the following ratios:

;

form a proportion.
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Also, given:

;
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→ If the "cross-products" are equal, then the ratios form a proportion.
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→ Does (2) * (24) =? (16) * (3) ?
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→ Does  48 =? 48  ?  Yes!
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→ As such, the following ratios;

→   ; do, in fact, form a proportion.
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