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Finding the Third Proportional to 69.29 and 106.79

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Solution

The third proportional to 69.29 and 106.79 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 106.79 = 106.79 : x
  2. Step 2: Convert to fraction form
    69.29/106.79 = 106.79/x
  3. Step 3: Cross multiply
    69.29x = 106.79 × 106.79
  4. Step 4: Simplify right side
    69.29x = 11,403.49
  5. Step 5: Solve for x
    x = 11,403.49/69.29
  6. Step 6: Final answer
    x = 164.57

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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.