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Finding the Third Proportional to 39,737 and 55,699

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Solution

The third proportional to 39,737 and 55,699 is: 78,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,737 : 55,699 = 55,699 : x
  2. Step 2: Convert to fraction form
    39,737/55,699 = 55,699/x
  3. Step 3: Cross multiply
    39,737x = 55,699 × 55,699
  4. Step 4: Simplify right side
    39,737x = 3,102,378,601
  5. Step 5: Solve for x
    x = 3,102,378,601/39,737
  6. Step 6: Final answer
    x = 78,072.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.