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Finding the Third Proportional to 394,605 and 869,643

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Solution

The third proportional to 394,605 and 869,643 is: 1,916,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,605 : 869,643 = 869,643 : x
  2. Step 2: Convert to fraction form
    394,605/869,643 = 869,643/x
  3. Step 3: Cross multiply
    394,605x = 869,643 × 869,643
  4. Step 4: Simplify right side
    394,605x = 756,278,947,449
  5. Step 5: Solve for x
    x = 756,278,947,449/394,605
  6. Step 6: Final answer
    x = 1,916,546.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.