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Finding the Third Proportional to 109.44 and 167.66

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Solution

The third proportional to 109.44 and 167.66 is: 256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 167.66 = 167.66 : x
  2. Step 2: Convert to fraction form
    109.44/167.66 = 167.66/x
  3. Step 3: Cross multiply
    109.44x = 167.66 × 167.66
  4. Step 4: Simplify right side
    109.44x = 28,108.62
  5. Step 5: Solve for x
    x = 28,108.62/109.44
  6. Step 6: Final answer
    x = 256.85

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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.