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Finding the Third Proportional to 139,741 and 197,542

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Solution

The third proportional to 139,741 and 197,542 is: 279,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,741 : 197,542 = 197,542 : x
  2. Step 2: Convert to fraction form
    139,741/197,542 = 197,542/x
  3. Step 3: Cross multiply
    139,741x = 197,542 × 197,542
  4. Step 4: Simplify right side
    139,741x = 39,022,841,764
  5. Step 5: Solve for x
    x = 39,022,841,764/139,741
  6. Step 6: Final answer
    x = 279,251.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.