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Finding the Third Proportional to 394,893 and 564,306

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Solution

The third proportional to 394,893 and 564,306 is: 806,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,893 : 564,306 = 564,306 : x
  2. Step 2: Convert to fraction form
    394,893/564,306 = 564,306/x
  3. Step 3: Cross multiply
    394,893x = 564,306 × 564,306
  4. Step 4: Simplify right side
    394,893x = 318,441,261,636
  5. Step 5: Solve for x
    x = 318,441,261,636/394,893
  6. Step 6: Final answer
    x = 806,398.85

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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.