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Finding the Third Proportional to 106.73 and 171.91

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Solution

The third proportional to 106.73 and 171.91 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.73 : 171.91 = 171.91 : x
  2. Step 2: Convert to fraction form
    106.73/171.91 = 171.91/x
  3. Step 3: Cross multiply
    106.73x = 171.91 × 171.91
  4. Step 4: Simplify right side
    106.73x = 29,554.44
  5. Step 5: Solve for x
    x = 29,554.44/106.73
  6. Step 6: Final answer
    x = 276.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.