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Finding the Third Proportional to 116.12 and 154.09

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Solution

The third proportional to 116.12 and 154.09 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 154.09 = 154.09 : x
  2. Step 2: Convert to fraction form
    116.12/154.09 = 154.09/x
  3. Step 3: Cross multiply
    116.12x = 154.09 × 154.09
  4. Step 4: Simplify right side
    116.12x = 23,743.68
  5. Step 5: Solve for x
    x = 23,743.68/116.12
  6. Step 6: Final answer
    x = 204.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.