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Finding the Third Proportional to 101.34 and 141.23

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Solution

The third proportional to 101.34 and 141.23 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 141.23 = 141.23 : x
  2. Step 2: Convert to fraction form
    101.34/141.23 = 141.23/x
  3. Step 3: Cross multiply
    101.34x = 141.23 × 141.23
  4. Step 4: Simplify right side
    101.34x = 19,947.15
  5. Step 5: Solve for x
    x = 19,947.15/101.34
  6. Step 6: Final answer
    x = 196.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.