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Finding the Third Proportional to 3.33 and 7.40

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Solution

The third proportional to 3.33 and 7.40 is: 16.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.33 : 7.40 = 7.40 : x
  2. Step 2: Convert to fraction form
    3.33/7.40 = 7.40/x
  3. Step 3: Cross multiply
    3.33x = 7.40 × 7.40
  4. Step 4: Simplify right side
    3.33x = 54.73
  5. Step 5: Solve for x
    x = 54.73/3.33
  6. Step 6: Final answer
    x = 16.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.