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Finding the Third Proportional to 139.22 and 218.98

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Solution

The third proportional to 139.22 and 218.98 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 218.98 = 218.98 : x
  2. Step 2: Convert to fraction form
    139.22/218.98 = 218.98/x
  3. Step 3: Cross multiply
    139.22x = 218.98 × 218.98
  4. Step 4: Simplify right side
    139.22x = 47,950.73
  5. Step 5: Solve for x
    x = 47,950.73/139.22
  6. Step 6: Final answer
    x = 344.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.