Finding the Third Proportional to 945 and 1,737
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Solution
The third proportional to 945 and 1,737 is: 3,192.77
Step by Step Solution
- Step 1: Write the proportion equation
945 : 1,737 = 1,737 : x - Step 2: Convert to fraction form
945/1,737 = 1,737/x - Step 3: Cross multiply
945x = 1,737 × 1,737 - Step 4: Simplify right side
945x = 3,017,169 - Step 5: Solve for x
x = 3,017,169/945 - Step 6: Final answer
x = 3,192.77
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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.