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Finding the Third Proportional to 197,916 and 402,744

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Solution

The third proportional to 197,916 and 402,744 is: 819,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,916 : 402,744 = 402,744 : x
  2. Step 2: Convert to fraction form
    197,916/402,744 = 402,744/x
  3. Step 3: Cross multiply
    197,916x = 402,744 × 402,744
  4. Step 4: Simplify right side
    197,916x = 162,202,729,536
  5. Step 5: Solve for x
    x = 162,202,729,536/197,916
  6. Step 6: Final answer
    x = 819,553.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.