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Finding the Third Proportional to 109.44 and 169.09

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Solution

The third proportional to 109.44 and 169.09 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 169.09 = 169.09 : x
  2. Step 2: Convert to fraction form
    109.44/169.09 = 169.09/x
  3. Step 3: Cross multiply
    109.44x = 169.09 × 169.09
  4. Step 4: Simplify right side
    109.44x = 28,592.70
  5. Step 5: Solve for x
    x = 28,592.70/109.44
  6. Step 6: Final answer
    x = 261.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.