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Finding the Third Proportional to 392,568 and 622,626

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Solution

The third proportional to 392,568 and 622,626 is: 987,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,568 : 622,626 = 622,626 : x
  2. Step 2: Convert to fraction form
    392,568/622,626 = 622,626/x
  3. Step 3: Cross multiply
    392,568x = 622,626 × 622,626
  4. Step 4: Simplify right side
    392,568x = 387,663,135,876
  5. Step 5: Solve for x
    x = 387,663,135,876/392,568
  6. Step 6: Final answer
    x = 987,505.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.