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Finding the Third Proportional to 71.09 and 108.67

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Solution

The third proportional to 71.09 and 108.67 is: 166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 108.67 = 108.67 : x
  2. Step 2: Convert to fraction form
    71.09/108.67 = 108.67/x
  3. Step 3: Cross multiply
    71.09x = 108.67 × 108.67
  4. Step 4: Simplify right side
    71.09x = 11,808.73
  5. Step 5: Solve for x
    x = 11,808.73/71.09
  6. Step 6: Final answer
    x = 166.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.