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Finding the Third Proportional to 121,408 and 266,908

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Solution

The third proportional to 121,408 and 266,908 is: 586,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408 : 266,908 = 266,908 : x
  2. Step 2: Convert to fraction form
    121,408/266,908 = 266,908/x
  3. Step 3: Cross multiply
    121,408x = 266,908 × 266,908
  4. Step 4: Simplify right side
    121,408x = 71,239,880,464
  5. Step 5: Solve for x
    x = 71,239,880,464/121,408
  6. Step 6: Final answer
    x = 586,780.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.