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Finding the Third Proportional to 106.79 and 163.03

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Solution

The third proportional to 106.79 and 163.03 is: 248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.79 : 163.03 = 163.03 : x
  2. Step 2: Convert to fraction form
    106.79/163.03 = 163.03/x
  3. Step 3: Cross multiply
    106.79x = 163.03 × 163.03
  4. Step 4: Simplify right side
    106.79x = 26,578.23
  5. Step 5: Solve for x
    x = 26,578.23/106.79
  6. Step 6: Final answer
    x = 248.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.