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Finding the Third Proportional to 81,438 and 176,802

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Solution

The third proportional to 81,438 and 176,802 is: 383,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,438 : 176,802 = 176,802 : x
  2. Step 2: Convert to fraction form
    81,438/176,802 = 176,802/x
  3. Step 3: Cross multiply
    81,438x = 176,802 × 176,802
  4. Step 4: Simplify right side
    81,438x = 31,258,947,204
  5. Step 5: Solve for x
    x = 31,258,947,204/81,438
  6. Step 6: Final answer
    x = 383,837.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.