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Finding the Third Proportional to 1.49 and 3.81

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Solution

The third proportional to 1.49 and 3.81 is: 9.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.49 : 3.81 = 3.81 : x
  2. Step 2: Convert to fraction form
    1.49/3.81 = 3.81/x
  3. Step 3: Cross multiply
    1.49x = 3.81 × 3.81
  4. Step 4: Simplify right side
    1.49x = 14.54
  5. Step 5: Solve for x
    x = 14.54/1.49
  6. Step 6: Final answer
    x = 9.78

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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.