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Finding the Third Proportional to 394,769 and 564,538

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Solution

The third proportional to 394,769 and 564,538 is: 807,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,769 : 564,538 = 564,538 : x
  2. Step 2: Convert to fraction form
    394,769/564,538 = 564,538/x
  3. Step 3: Cross multiply
    394,769x = 564,538 × 564,538
  4. Step 4: Simplify right side
    394,769x = 318,703,153,444
  5. Step 5: Solve for x
    x = 318,703,153,444/394,769
  6. Step 6: Final answer
    x = 807,315.55

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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.