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Finding the Third Proportional to 5.50 and 14.09

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Solution

The third proportional to 5.50 and 14.09 is: 36.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.50 : 14.09 = 14.09 : x
  2. Step 2: Convert to fraction form
    5.50/14.09 = 14.09/x
  3. Step 3: Cross multiply
    5.50x = 14.09 × 14.09
  4. Step 4: Simplify right side
    5.50x = 198.58
  5. Step 5: Solve for x
    x = 198.58/5.50
  6. Step 6: Final answer
    x = 36.13

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.