Finding the Third Proportional to 742 and 1,751
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Solution
The third proportional to 742 and 1,751 is: 4,132.08
Step by Step Solution
- Step 1: Write the proportion equation
742 : 1,751 = 1,751 : x - Step 2: Convert to fraction form
742/1,751 = 1,751/x - Step 3: Cross multiply
742x = 1,751 × 1,751 - Step 4: Simplify right side
742x = 3,066,001 - Step 5: Solve for x
x = 3,066,001/742 - Step 6: Final answer
x = 4,132.08
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.