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Finding the Third Proportional to 116.81 and 166.09

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Solution

The third proportional to 116.81 and 166.09 is: 236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.81 : 166.09 = 166.09 : x
  2. Step 2: Convert to fraction form
    116.81/166.09 = 166.09/x
  3. Step 3: Cross multiply
    116.81x = 166.09 × 166.09
  4. Step 4: Simplify right side
    116.81x = 27,584.86
  5. Step 5: Solve for x
    x = 27,584.86/116.81
  6. Step 6: Final answer
    x = 236.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.