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Finding the Third Proportional to 126,408 and 169,620

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Solution

The third proportional to 126,408 and 169,620 is: 227,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,408 : 169,620 = 169,620 : x
  2. Step 2: Convert to fraction form
    126,408/169,620 = 169,620/x
  3. Step 3: Cross multiply
    126,408x = 169,620 × 169,620
  4. Step 4: Simplify right side
    126,408x = 28,770,944,400
  5. Step 5: Solve for x
    x = 28,770,944,400/126,408
  6. Step 6: Final answer
    x = 227,603.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.