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Finding the Third Proportional to 69.29 and 106.31

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Solution

The third proportional to 69.29 and 106.31 is: 163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 106.31 = 106.31 : x
  2. Step 2: Convert to fraction form
    69.29/106.31 = 106.31/x
  3. Step 3: Cross multiply
    69.29x = 106.31 × 106.31
  4. Step 4: Simplify right side
    69.29x = 11,302.35
  5. Step 5: Solve for x
    x = 11,302.35/69.29
  6. Step 6: Final answer
    x = 163.11

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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.