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Finding the Third Proportional to 163.13 and 231.94

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Solution

The third proportional to 163.13 and 231.94 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 231.94 = 231.94 : x
  2. Step 2: Convert to fraction form
    163.13/231.94 = 231.94/x
  3. Step 3: Cross multiply
    163.13x = 231.94 × 231.94
  4. Step 4: Simplify right side
    163.13x = 53,795.00
  5. Step 5: Solve for x
    x = 53,795.00/163.13
  6. Step 6: Final answer
    x = 329.78

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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.