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Finding the Third Proportional to 204,941 and 420,087

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Solution

The third proportional to 204,941 and 420,087 is: 861,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,941 : 420,087 = 420,087 : x
  2. Step 2: Convert to fraction form
    204,941/420,087 = 420,087/x
  3. Step 3: Cross multiply
    204,941x = 420,087 × 420,087
  4. Step 4: Simplify right side
    204,941x = 176,473,087,569
  5. Step 5: Solve for x
    x = 176,473,087,569/204,941
  6. Step 6: Final answer
    x = 861,092.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.