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Finding the Third Proportional to 408,306 and 580,698

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Solution

The third proportional to 408,306 and 580,698 is: 825,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,306 : 580,698 = 580,698 : x
  2. Step 2: Convert to fraction form
    408,306/580,698 = 580,698/x
  3. Step 3: Cross multiply
    408,306x = 580,698 × 580,698
  4. Step 4: Simplify right side
    408,306x = 337,210,167,204
  5. Step 5: Solve for x
    x = 337,210,167,204/408,306
  6. Step 6: Final answer
    x = 825,876.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.