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Finding the Third Proportional to 109.44 and 152.97

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Solution

The third proportional to 109.44 and 152.97 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 152.97 = 152.97 : x
  2. Step 2: Convert to fraction form
    109.44/152.97 = 152.97/x
  3. Step 3: Cross multiply
    109.44x = 152.97 × 152.97
  4. Step 4: Simplify right side
    109.44x = 23,399.44
  5. Step 5: Solve for x
    x = 23,399.44/109.44
  6. Step 6: Final answer
    x = 213.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.