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Finding the Third Proportional to 71,448 and 136,408

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Solution

The third proportional to 71,448 and 136,408 is: 260,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448 : 136,408 = 136,408 : x
  2. Step 2: Convert to fraction form
    71,448/136,408 = 136,408/x
  3. Step 3: Cross multiply
    71,448x = 136,408 × 136,408
  4. Step 4: Simplify right side
    71,448x = 18,607,142,464
  5. Step 5: Solve for x
    x = 18,607,142,464/71,448
  6. Step 6: Final answer
    x = 260,429.16

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.