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Finding the Third Proportional to 200,366 and 408,908

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Solution

The third proportional to 200,366 and 408,908 is: 834,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,366 : 408,908 = 408,908 : x
  2. Step 2: Convert to fraction form
    200,366/408,908 = 408,908/x
  3. Step 3: Cross multiply
    200,366x = 408,908 × 408,908
  4. Step 4: Simplify right side
    200,366x = 167,205,752,464
  5. Step 5: Solve for x
    x = 167,205,752,464/200,366
  6. Step 6: Final answer
    x = 834,501.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.