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Finding the Third Proportional to 81,540 and 172,908

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Solution

The third proportional to 81,540 and 172,908 is: 366,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540 : 172,908 = 172,908 : x
  2. Step 2: Convert to fraction form
    81,540/172,908 = 172,908/x
  3. Step 3: Cross multiply
    81,540x = 172,908 × 172,908
  4. Step 4: Simplify right side
    81,540x = 29,897,176,464
  5. Step 5: Solve for x
    x = 29,897,176,464/81,540
  6. Step 6: Final answer
    x = 366,656.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.