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Finding the Third Proportional to 109.48 and 154.09

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Solution

The third proportional to 109.48 and 154.09 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.48 : 154.09 = 154.09 : x
  2. Step 2: Convert to fraction form
    109.48/154.09 = 154.09/x
  3. Step 3: Cross multiply
    109.48x = 154.09 × 154.09
  4. Step 4: Simplify right side
    109.48x = 23,743.68
  5. Step 5: Solve for x
    x = 23,743.68/109.48
  6. Step 6: Final answer
    x = 216.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.