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Finding the Third Proportional to 394,911 and 564,327

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Solution

The third proportional to 394,911 and 564,327 is: 806,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,911 : 564,327 = 564,327 : x
  2. Step 2: Convert to fraction form
    394,911/564,327 = 564,327/x
  3. Step 3: Cross multiply
    394,911x = 564,327 × 564,327
  4. Step 4: Simplify right side
    394,911x = 318,464,962,929
  5. Step 5: Solve for x
    x = 318,464,962,929/394,911
  6. Step 6: Final answer
    x = 806,422.11

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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.