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Finding the Third Proportional to 81,864 and 176,643

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Solution

The third proportional to 81,864 and 176,643 is: 381,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 176,643 = 176,643 : x
  2. Step 2: Convert to fraction form
    81,864/176,643 = 176,643/x
  3. Step 3: Cross multiply
    81,864x = 176,643 × 176,643
  4. Step 4: Simplify right side
    81,864x = 31,202,749,449
  5. Step 5: Solve for x
    x = 31,202,749,449/81,864
  6. Step 6: Final answer
    x = 381,153.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.