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Finding the Third Proportional to 109.27 and 167.70

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Solution

The third proportional to 109.27 and 167.70 is: 257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.27 : 167.70 = 167.70 : x
  2. Step 2: Convert to fraction form
    109.27/167.70 = 167.70/x
  3. Step 3: Cross multiply
    109.27x = 167.70 × 167.70
  4. Step 4: Simplify right side
    109.27x = 28,121.72
  5. Step 5: Solve for x
    x = 28,121.72/109.27
  6. Step 6: Final answer
    x = 257.37

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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.