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Finding the Third Proportional to 83,449 and 129,296

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Solution

The third proportional to 83,449 and 129,296 is: 200,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,449 : 129,296 = 129,296 : x
  2. Step 2: Convert to fraction form
    83,449/129,296 = 129,296/x
  3. Step 3: Cross multiply
    83,449x = 129,296 × 129,296
  4. Step 4: Simplify right side
    83,449x = 16,717,455,616
  5. Step 5: Solve for x
    x = 16,717,455,616/83,449
  6. Step 6: Final answer
    x = 200,331.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.