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Finding the Third Proportional to 122,909 and 260,218

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Solution

The third proportional to 122,909 and 260,218 is: 550,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,909 : 260,218 = 260,218 : x
  2. Step 2: Convert to fraction form
    122,909/260,218 = 260,218/x
  3. Step 3: Cross multiply
    122,909x = 260,218 × 260,218
  4. Step 4: Simplify right side
    122,909x = 67,713,407,524
  5. Step 5: Solve for x
    x = 67,713,407,524/122,909
  6. Step 6: Final answer
    x = 550,923.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.