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Finding the Third Proportional to 392,539 and 622,578

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Solution

The third proportional to 392,539 and 622,578 is: 987,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,539 : 622,578 = 622,578 : x
  2. Step 2: Convert to fraction form
    392,539/622,578 = 622,578/x
  3. Step 3: Cross multiply
    392,539x = 622,578 × 622,578
  4. Step 4: Simplify right side
    392,539x = 387,603,366,084
  5. Step 5: Solve for x
    x = 387,603,366,084/392,539
  6. Step 6: Final answer
    x = 987,426.39

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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.