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Finding the Third Proportional to 392,536 and 622,580

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Solution

The third proportional to 392,536 and 622,580 is: 987,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,536 : 622,580 = 622,580 : x
  2. Step 2: Convert to fraction form
    392,536/622,580 = 622,580/x
  3. Step 3: Cross multiply
    392,536x = 622,580 × 622,580
  4. Step 4: Simplify right side
    392,536x = 387,605,856,400
  5. Step 5: Solve for x
    x = 387,605,856,400/392,536
  6. Step 6: Final answer
    x = 987,440.28

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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.