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Finding the Third Proportional to 3.78 and 5.31

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Solution

The third proportional to 3.78 and 5.31 is: 7.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.78 : 5.31 = 5.31 : x
  2. Step 2: Convert to fraction form
    3.78/5.31 = 5.31/x
  3. Step 3: Cross multiply
    3.78x = 5.31 × 5.31
  4. Step 4: Simplify right side
    3.78x = 28.25
  5. Step 5: Solve for x
    x = 28.25/3.78
  6. Step 6: Final answer
    x = 7.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.