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Finding the Third Proportional to 69.29 and 107.74

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Solution

The third proportional to 69.29 and 107.74 is: 167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 107.74 = 107.74 : x
  2. Step 2: Convert to fraction form
    69.29/107.74 = 107.74/x
  3. Step 3: Cross multiply
    69.29x = 107.74 × 107.74
  4. Step 4: Simplify right side
    69.29x = 11,607.12
  5. Step 5: Solve for x
    x = 11,607.12/69.29
  6. Step 6: Final answer
    x = 167.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.