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Finding the Third Proportional to 57,542 and 77,744

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Solution

The third proportional to 57,542 and 77,744 is: 105,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542 : 77,744 = 77,744 : x
  2. Step 2: Convert to fraction form
    57,542/77,744 = 77,744/x
  3. Step 3: Cross multiply
    57,542x = 77,744 × 77,744
  4. Step 4: Simplify right side
    57,542x = 6,044,129,536
  5. Step 5: Solve for x
    x = 6,044,129,536/57,542
  6. Step 6: Final answer
    x = 105,038.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.