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Finding the Third Proportional to 394,899 and 564,315

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Solution

The third proportional to 394,899 and 564,315 is: 806,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,899 : 564,315 = 564,315 : x
  2. Step 2: Convert to fraction form
    394,899/564,315 = 564,315/x
  3. Step 3: Cross multiply
    394,899x = 564,315 × 564,315
  4. Step 4: Simplify right side
    394,899x = 318,451,419,225
  5. Step 5: Solve for x
    x = 318,451,419,225/394,899
  6. Step 6: Final answer
    x = 806,412.32

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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.