A proportion is an equation that states that two ratios are equal. To determine which of the given options is a proportion, we can simplify both sides of the equations.
Option 1:
\( \frac{7}{9} = \frac{14}{27} \)
To check if they are equal, we can cross-multiply:
\( 7 \times 27 = 189 \)
\( 9 \times 14 = 126 \)
Since \( 189 \neq 126 \), Option 1 is not a proportion.
Option 2:
\( \frac{7}{9} = \frac{14}{18} \)
Cross-multiplying gives:
\( 7 \times 18 = 126 \)
\( 9 \times 14 = 126 \)
Since \( 126 = 126 \), Option 2 is a proportion.
Therefore, Option 2 is the proportion.