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Finding the Third Proportional to 315,542 and 679,198

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Solution

The third proportional to 315,542 and 679,198 is: 1,461,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,542 : 679,198 = 679,198 : x
  2. Step 2: Convert to fraction form
    315,542/679,198 = 679,198/x
  3. Step 3: Cross multiply
    315,542x = 679,198 × 679,198
  4. Step 4: Simplify right side
    315,542x = 461,309,923,204
  5. Step 5: Solve for x
    x = 461,309,923,204/315,542
  6. Step 6: Final answer
    x = 1,461,960.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.