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Finding the Third Proportional to 392,562 and 622,632

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Solution

The third proportional to 392,562 and 622,632 is: 987,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,562 : 622,632 = 622,632 : x
  2. Step 2: Convert to fraction form
    392,562/622,632 = 622,632/x
  3. Step 3: Cross multiply
    392,562x = 622,632 × 622,632
  4. Step 4: Simplify right side
    392,562x = 387,670,607,424
  5. Step 5: Solve for x
    x = 387,670,607,424/392,562
  6. Step 6: Final answer
    x = 987,539.82

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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.