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Finding the Third Proportional to 5.09 and 11.03

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Solution

The third proportional to 5.09 and 11.03 is: 23.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 11.03 = 11.03 : x
  2. Step 2: Convert to fraction form
    5.09/11.03 = 11.03/x
  3. Step 3: Cross multiply
    5.09x = 11.03 × 11.03
  4. Step 4: Simplify right side
    5.09x = 121.69
  5. Step 5: Solve for x
    x = 121.69/5.09
  6. Step 6: Final answer
    x = 23.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.