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Finding the Third Proportional to 81,641 and 119,665

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Solution

The third proportional to 81,641 and 119,665 is: 175,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,641 : 119,665 = 119,665 : x
  2. Step 2: Convert to fraction form
    81,641/119,665 = 119,665/x
  3. Step 3: Cross multiply
    81,641x = 119,665 × 119,665
  4. Step 4: Simplify right side
    81,641x = 14,319,712,225
  5. Step 5: Solve for x
    x = 14,319,712,225/81,641
  6. Step 6: Final answer
    x = 175,398.54

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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.