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Finding the Third Proportional to 408,162 and 613,809

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Solution

The third proportional to 408,162 and 613,809 is: 923,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,162 : 613,809 = 613,809 : x
  2. Step 2: Convert to fraction form
    408,162/613,809 = 613,809/x
  3. Step 3: Cross multiply
    408,162x = 613,809 × 613,809
  4. Step 4: Simplify right side
    408,162x = 376,761,488,481
  5. Step 5: Solve for x
    x = 376,761,488,481/408,162
  6. Step 6: Final answer
    x = 923,068.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.