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Finding the Third Proportional to 139.03 and 175.97

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Solution

The third proportional to 139.03 and 175.97 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.03 : 175.97 = 175.97 : x
  2. Step 2: Convert to fraction form
    139.03/175.97 = 175.97/x
  3. Step 3: Cross multiply
    139.03x = 175.97 × 175.97
  4. Step 4: Simplify right side
    139.03x = 30,965.00
  5. Step 5: Solve for x
    x = 30,965.00/139.03
  6. Step 6: Final answer
    x = 222.72

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.