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Finding the Third Proportional to 204,981 and 449,448

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Solution

The third proportional to 204,981 and 449,448 is: 985,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,981 : 449,448 = 449,448 : x
  2. Step 2: Convert to fraction form
    204,981/449,448 = 449,448/x
  3. Step 3: Cross multiply
    204,981x = 449,448 × 449,448
  4. Step 4: Simplify right side
    204,981x = 202,003,504,704
  5. Step 5: Solve for x
    x = 202,003,504,704/204,981
  6. Step 6: Final answer
    x = 985,474.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.