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Finding the Third Proportional to 67.97 and 141.14

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Solution

The third proportional to 67.97 and 141.14 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 141.14 = 141.14 : x
  2. Step 2: Convert to fraction form
    67.97/141.14 = 141.14/x
  3. Step 3: Cross multiply
    67.97x = 141.14 × 141.14
  4. Step 4: Simplify right side
    67.97x = 19,920.68
  5. Step 5: Solve for x
    x = 19,920.68/67.97
  6. Step 6: Final answer
    x = 293.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.