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Finding the Third Proportional to 81,221 and 125,521

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Solution

The third proportional to 81,221 and 125,521 is: 193,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,221 : 125,521 = 125,521 : x
  2. Step 2: Convert to fraction form
    81,221/125,521 = 125,521/x
  3. Step 3: Cross multiply
    81,221x = 125,521 × 125,521
  4. Step 4: Simplify right side
    81,221x = 15,755,521,441
  5. Step 5: Solve for x
    x = 15,755,521,441/81,221
  6. Step 6: Final answer
    x = 193,983.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.