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Finding the Third Proportional to 86,408 and 129,468

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Solution

The third proportional to 86,408 and 129,468 is: 193,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,408 : 129,468 = 129,468 : x
  2. Step 2: Convert to fraction form
    86,408/129,468 = 129,468/x
  3. Step 3: Cross multiply
    86,408x = 129,468 × 129,468
  4. Step 4: Simplify right side
    86,408x = 16,761,963,024
  5. Step 5: Solve for x
    x = 16,761,963,024/86,408
  6. Step 6: Final answer
    x = 193,986.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.