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Finding the Third Proportional to 138.38 and 189.94

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Solution

The third proportional to 138.38 and 189.94 is: 260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 189.94 = 189.94 : x
  2. Step 2: Convert to fraction form
    138.38/189.94 = 189.94/x
  3. Step 3: Cross multiply
    138.38x = 189.94 × 189.94
  4. Step 4: Simplify right side
    138.38x = 36,076.25
  5. Step 5: Solve for x
    x = 36,076.25/138.38
  6. Step 6: Final answer
    x = 260.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.