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Finding the Third Proportional to 139.94 and 217.47

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Solution

The third proportional to 139.94 and 217.47 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.94 : 217.47 = 217.47 : x
  2. Step 2: Convert to fraction form
    139.94/217.47 = 217.47/x
  3. Step 3: Cross multiply
    139.94x = 217.47 × 217.47
  4. Step 4: Simplify right side
    139.94x = 47,292.66
  5. Step 5: Solve for x
    x = 47,292.66/139.94
  6. Step 6: Final answer
    x = 337.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.