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Finding the Third Proportional to 69.44 and 109.09

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Solution

The third proportional to 69.44 and 109.09 is: 171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.44 : 109.09 = 109.09 : x
  2. Step 2: Convert to fraction form
    69.44/109.09 = 109.09/x
  3. Step 3: Cross multiply
    69.44x = 109.09 × 109.09
  4. Step 4: Simplify right side
    69.44x = 11,901.45
  5. Step 5: Solve for x
    x = 11,901.45/69.44
  6. Step 6: Final answer
    x = 171.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.