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Finding the Third Proportional to 172,517 and 237,561

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Solution

The third proportional to 172,517 and 237,561 is: 327,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,517 : 237,561 = 237,561 : x
  2. Step 2: Convert to fraction form
    172,517/237,561 = 237,561/x
  3. Step 3: Cross multiply
    172,517x = 237,561 × 237,561
  4. Step 4: Simplify right side
    172,517x = 56,435,228,721
  5. Step 5: Solve for x
    x = 56,435,228,721/172,517
  6. Step 6: Final answer
    x = 327,128.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.