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Finding the Third Proportional to 3.49 and 7.54

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Solution

The third proportional to 3.49 and 7.54 is: 16.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.49 : 7.54 = 7.54 : x
  2. Step 2: Convert to fraction form
    3.49/7.54 = 7.54/x
  3. Step 3: Cross multiply
    3.49x = 7.54 × 7.54
  4. Step 4: Simplify right side
    3.49x = 56.88
  5. Step 5: Solve for x
    x = 56.88/3.49
  6. Step 6: Final answer
    x = 16.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.