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Finding the Third Proportional to 171,679.78 and 261,517.78

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Solution

The third proportional to 171,679.78 and 261,517.78 is: 398,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,679.78 : 261,517.78 = 261,517.78 : x
  2. Step 2: Convert to fraction form
    171,679.78/261,517.78 = 261,517.78/x
  3. Step 3: Cross multiply
    171,679.78x = 261,517.78 × 261,517.78
  4. Step 4: Simplify right side
    171,679.78x = 68,391,549,909.92
  5. Step 5: Solve for x
    x = 68,391,549,909.92/171,679.78
  6. Step 6: Final answer
    x = 398,366.94

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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.