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Finding the Third Proportional to 143,206 and 308,542

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Solution

The third proportional to 143,206 and 308,542 is: 664,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,206 : 308,542 = 308,542 : x
  2. Step 2: Convert to fraction form
    143,206/308,542 = 308,542/x
  3. Step 3: Cross multiply
    143,206x = 308,542 × 308,542
  4. Step 4: Simplify right side
    143,206x = 95,198,165,764
  5. Step 5: Solve for x
    x = 95,198,165,764/143,206
  6. Step 6: Final answer
    x = 664,763.81

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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.