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Finding the Third Proportional to 198,781 and 441,662

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Solution

The third proportional to 198,781 and 441,662 is: 981,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,781 : 441,662 = 441,662 : x
  2. Step 2: Convert to fraction form
    198,781/441,662 = 441,662/x
  3. Step 3: Cross multiply
    198,781x = 441,662 × 441,662
  4. Step 4: Simplify right side
    198,781x = 195,065,322,244
  5. Step 5: Solve for x
    x = 195,065,322,244/198,781
  6. Step 6: Final answer
    x = 981,307.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.