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Finding the Third Proportional to 3.09 and 7.49

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Solution

The third proportional to 3.09 and 7.49 is: 18.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 7.49 = 7.49 : x
  2. Step 2: Convert to fraction form
    3.09/7.49 = 7.49/x
  3. Step 3: Cross multiply
    3.09x = 7.49 × 7.49
  4. Step 4: Simplify right side
    3.09x = 56.11
  5. Step 5: Solve for x
    x = 56.11/3.09
  6. Step 6: Final answer
    x = 18.15

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.