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Finding the Third Proportional to 394,422 and 563,976

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Solution

The third proportional to 394,422 and 563,976 is: 806,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,422 : 563,976 = 563,976 : x
  2. Step 2: Convert to fraction form
    394,422/563,976 = 563,976/x
  3. Step 3: Cross multiply
    394,422x = 563,976 × 563,976
  4. Step 4: Simplify right side
    394,422x = 318,068,928,576
  5. Step 5: Solve for x
    x = 318,068,928,576/394,422
  6. Step 6: Final answer
    x = 806,417.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.