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Finding the Third Proportional to 204,934 and 420,074

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Solution

The third proportional to 204,934 and 420,074 is: 861,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,934 : 420,074 = 420,074 : x
  2. Step 2: Convert to fraction form
    204,934/420,074 = 420,074/x
  3. Step 3: Cross multiply
    204,934x = 420,074 × 420,074
  4. Step 4: Simplify right side
    204,934x = 176,462,165,476
  5. Step 5: Solve for x
    x = 176,462,165,476/204,934
  6. Step 6: Final answer
    x = 861,068.27

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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.