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Finding the Third Proportional to 138.94 and 194.91

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Solution

The third proportional to 138.94 and 194.91 is: 273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 194.91 = 194.91 : x
  2. Step 2: Convert to fraction form
    138.94/194.91 = 194.91/x
  3. Step 3: Cross multiply
    138.94x = 194.91 × 194.91
  4. Step 4: Simplify right side
    138.94x = 37,988.45
  5. Step 5: Solve for x
    x = 37,988.45/138.94
  6. Step 6: Final answer
    x = 273.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.