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Finding the Third Proportional to 51.94 and 139.97

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Solution

The third proportional to 51.94 and 139.97 is: 377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 139.97 = 139.97 : x
  2. Step 2: Convert to fraction form
    51.94/139.97 = 139.97/x
  3. Step 3: Cross multiply
    51.94x = 139.97 × 139.97
  4. Step 4: Simplify right side
    51.94x = 19,591.25
  5. Step 5: Solve for x
    x = 19,591.25/51.94
  6. Step 6: Final answer
    x = 377.21

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.