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Finding the Third Proportional to 90,522 and 198,874

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Solution

The third proportional to 90,522 and 198,874 is: 436,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,522 : 198,874 = 198,874 : x
  2. Step 2: Convert to fraction form
    90,522/198,874 = 198,874/x
  3. Step 3: Cross multiply
    90,522x = 198,874 × 198,874
  4. Step 4: Simplify right side
    90,522x = 39,550,867,876
  5. Step 5: Solve for x
    x = 39,550,867,876/90,522
  6. Step 6: Final answer
    x = 436,919.95

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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.