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Finding the Third Proportional to 81,981 and 176,877

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Solution

The third proportional to 81,981 and 176,877 is: 381,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981 : 176,877 = 176,877 : x
  2. Step 2: Convert to fraction form
    81,981/176,877 = 176,877/x
  3. Step 3: Cross multiply
    81,981x = 176,877 × 176,877
  4. Step 4: Simplify right side
    81,981x = 31,285,473,129
  5. Step 5: Solve for x
    x = 31,285,473,129/81,981
  6. Step 6: Final answer
    x = 381,618.58

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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.