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Finding the Third Proportional to 121,469 and 250,719

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Solution

The third proportional to 121,469 and 250,719 is: 517,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,469 : 250,719 = 250,719 : x
  2. Step 2: Convert to fraction form
    121,469/250,719 = 250,719/x
  3. Step 3: Cross multiply
    121,469x = 250,719 × 250,719
  4. Step 4: Simplify right side
    121,469x = 62,860,016,961
  5. Step 5: Solve for x
    x = 62,860,016,961/121,469
  6. Step 6: Final answer
    x = 517,498.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.