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Finding the Third Proportional to 71.16 and 107.86

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Solution

The third proportional to 71.16 and 107.86 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.16 : 107.86 = 107.86 : x
  2. Step 2: Convert to fraction form
    71.16/107.86 = 107.86/x
  3. Step 3: Cross multiply
    71.16x = 107.86 × 107.86
  4. Step 4: Simplify right side
    71.16x = 11,633.64
  5. Step 5: Solve for x
    x = 11,633.64/71.16
  6. Step 6: Final answer
    x = 163.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.