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Finding the Third Proportional to 27,978 and 61,542

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Solution

The third proportional to 27,978 and 61,542 is: 135,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978 : 61,542 = 61,542 : x
  2. Step 2: Convert to fraction form
    27,978/61,542 = 61,542/x
  3. Step 3: Cross multiply
    27,978x = 61,542 × 61,542
  4. Step 4: Simplify right side
    27,978x = 3,787,417,764
  5. Step 5: Solve for x
    x = 3,787,417,764/27,978
  6. Step 6: Final answer
    x = 135,371.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.