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Finding the Third Proportional to 83.06 and 107.44

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Solution

The third proportional to 83.06 and 107.44 is: 138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 107.44 = 107.44 : x
  2. Step 2: Convert to fraction form
    83.06/107.44 = 107.44/x
  3. Step 3: Cross multiply
    83.06x = 107.44 × 107.44
  4. Step 4: Simplify right side
    83.06x = 11,542.82
  5. Step 5: Solve for x
    x = 11,542.82/83.06
  6. Step 6: Final answer
    x = 138.97

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.