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Finding the Third Proportional to 122,917 and 268,082

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Solution

The third proportional to 122,917 and 268,082 is: 584,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,917 : 268,082 = 268,082 : x
  2. Step 2: Convert to fraction form
    122,917/268,082 = 268,082/x
  3. Step 3: Cross multiply
    122,917x = 268,082 × 268,082
  4. Step 4: Simplify right side
    122,917x = 71,867,958,724
  5. Step 5: Solve for x
    x = 71,867,958,724/122,917
  6. Step 6: Final answer
    x = 584,686.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.