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Finding the Third Proportional to 81,765 and 176,654

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Solution

The third proportional to 81,765 and 176,654 is: 381,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765 : 176,654 = 176,654 : x
  2. Step 2: Convert to fraction form
    81,765/176,654 = 176,654/x
  3. Step 3: Cross multiply
    81,765x = 176,654 × 176,654
  4. Step 4: Simplify right side
    81,765x = 31,206,635,716
  5. Step 5: Solve for x
    x = 31,206,635,716/81,765
  6. Step 6: Final answer
    x = 381,662.52

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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.