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Finding the Third Proportional to 106.17 and 163.55

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Solution

The third proportional to 106.17 and 163.55 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.17 : 163.55 = 163.55 : x
  2. Step 2: Convert to fraction form
    106.17/163.55 = 163.55/x
  3. Step 3: Cross multiply
    106.17x = 163.55 × 163.55
  4. Step 4: Simplify right side
    106.17x = 26,747.58
  5. Step 5: Solve for x
    x = 26,747.58/106.17
  6. Step 6: Final answer
    x = 251.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.