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Finding the Third Proportional to 394,976 and 564,424

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Solution

The third proportional to 394,976 and 564,424 is: 806,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,976 : 564,424 = 564,424 : x
  2. Step 2: Convert to fraction form
    394,976/564,424 = 564,424/x
  3. Step 3: Cross multiply
    394,976x = 564,424 × 564,424
  4. Step 4: Simplify right side
    394,976x = 318,574,451,776
  5. Step 5: Solve for x
    x = 318,574,451,776/394,976
  6. Step 6: Final answer
    x = 806,566.61

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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.