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Finding the Third Proportional to 81,347 and 121,587

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Solution

The third proportional to 81,347 and 121,587 is: 181,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,347 : 121,587 = 121,587 : x
  2. Step 2: Convert to fraction form
    81,347/121,587 = 121,587/x
  3. Step 3: Cross multiply
    81,347x = 121,587 × 121,587
  4. Step 4: Simplify right side
    81,347x = 14,783,398,569
  5. Step 5: Solve for x
    x = 14,783,398,569/81,347
  6. Step 6: Final answer
    x = 181,732.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.