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Finding the Third Proportional to 69.93 and 108.84

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Solution

The third proportional to 69.93 and 108.84 is: 169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.93 : 108.84 = 108.84 : x
  2. Step 2: Convert to fraction form
    69.93/108.84 = 108.84/x
  3. Step 3: Cross multiply
    69.93x = 108.84 × 108.84
  4. Step 4: Simplify right side
    69.93x = 11,846.96
  5. Step 5: Solve for x
    x = 11,846.96/69.93
  6. Step 6: Final answer
    x = 169.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.