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Finding the Third Proportional to 116.66 and 163.51

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Solution

The third proportional to 116.66 and 163.51 is: 229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 163.51 = 163.51 : x
  2. Step 2: Convert to fraction form
    116.66/163.51 = 163.51/x
  3. Step 3: Cross multiply
    116.66x = 163.51 × 163.51
  4. Step 4: Simplify right side
    116.66x = 26,736.08
  5. Step 5: Solve for x
    x = 26,736.08/116.66
  6. Step 6: Final answer
    x = 229.18

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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.