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Finding the Third Proportional to 42,384 and 57,497

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Solution

The third proportional to 42,384 and 57,497 is: 77,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384 : 57,497 = 57,497 : x
  2. Step 2: Convert to fraction form
    42,384/57,497 = 57,497/x
  3. Step 3: Cross multiply
    42,384x = 57,497 × 57,497
  4. Step 4: Simplify right side
    42,384x = 3,305,905,009
  5. Step 5: Solve for x
    x = 3,305,905,009/42,384
  6. Step 6: Final answer
    x = 77,998.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.