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Finding the Third Proportional to 81,538 and 176,645

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Solution

The third proportional to 81,538 and 176,645 is: 382,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,538 : 176,645 = 176,645 : x
  2. Step 2: Convert to fraction form
    81,538/176,645 = 176,645/x
  3. Step 3: Cross multiply
    81,538x = 176,645 × 176,645
  4. Step 4: Simplify right side
    81,538x = 31,203,456,025
  5. Step 5: Solve for x
    x = 31,203,456,025/81,538
  6. Step 6: Final answer
    x = 382,686.06

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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.