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Finding the Third Proportional to 42,538 and 62,489

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Solution

The third proportional to 42,538 and 62,489 is: 91,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538 : 62,489 = 62,489 : x
  2. Step 2: Convert to fraction form
    42,538/62,489 = 62,489/x
  3. Step 3: Cross multiply
    42,538x = 62,489 × 62,489
  4. Step 4: Simplify right side
    42,538x = 3,904,875,121
  5. Step 5: Solve for x
    x = 3,904,875,121/42,538
  6. Step 6: Final answer
    x = 91,797.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.