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Finding the Third Proportional to 69.45 and 108.05

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Solution

The third proportional to 69.45 and 108.05 is: 168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.45 : 108.05 = 108.05 : x
  2. Step 2: Convert to fraction form
    69.45/108.05 = 108.05/x
  3. Step 3: Cross multiply
    69.45x = 108.05 × 108.05
  4. Step 4: Simplify right side
    69.45x = 11,675.39
  5. Step 5: Solve for x
    x = 11,675.39/69.45
  6. Step 6: Final answer
    x = 168.11

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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.