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Finding the Third Proportional to 71.91 and 107.39

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Solution

The third proportional to 71.91 and 107.39 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.91 : 107.39 = 107.39 : x
  2. Step 2: Convert to fraction form
    71.91/107.39 = 107.39/x
  3. Step 3: Cross multiply
    71.91x = 107.39 × 107.39
  4. Step 4: Simplify right side
    71.91x = 11,532.75
  5. Step 5: Solve for x
    x = 11,532.75/71.91
  6. Step 6: Final answer
    x = 160.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.