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Finding the Third Proportional to 394,767 and 564,535

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Solution

The third proportional to 394,767 and 564,535 is: 807,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,767 : 564,535 = 564,535 : x
  2. Step 2: Convert to fraction form
    394,767/564,535 = 564,535/x
  3. Step 3: Cross multiply
    394,767x = 564,535 × 564,535
  4. Step 4: Simplify right side
    394,767x = 318,699,766,225
  5. Step 5: Solve for x
    x = 318,699,766,225/394,767
  6. Step 6: Final answer
    x = 807,311.06

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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.