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Finding the Third Proportional to 171,808 and 252,561

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Solution

The third proportional to 171,808 and 252,561 is: 371,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 252,561 = 252,561 : x
  2. Step 2: Convert to fraction form
    171,808/252,561 = 252,561/x
  3. Step 3: Cross multiply
    171,808x = 252,561 × 252,561
  4. Step 4: Simplify right side
    171,808x = 63,787,058,721
  5. Step 5: Solve for x
    x = 63,787,058,721/171,808
  6. Step 6: Final answer
    x = 371,269.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.