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Finding the Third Proportional to 172,508 and 261,872

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Solution

The third proportional to 172,508 and 261,872 is: 397,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,508 : 261,872 = 261,872 : x
  2. Step 2: Convert to fraction form
    172,508/261,872 = 261,872/x
  3. Step 3: Cross multiply
    172,508x = 261,872 × 261,872
  4. Step 4: Simplify right side
    172,508x = 68,576,944,384
  5. Step 5: Solve for x
    x = 68,576,944,384/172,508
  6. Step 6: Final answer
    x = 397,529.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.