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Finding the Third Proportional to 3.96 and 5.78

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Solution

The third proportional to 3.96 and 5.78 is: 8.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.96 : 5.78 = 5.78 : x
  2. Step 2: Convert to fraction form
    3.96/5.78 = 5.78/x
  3. Step 3: Cross multiply
    3.96x = 5.78 × 5.78
  4. Step 4: Simplify right side
    3.96x = 33.46
  5. Step 5: Solve for x
    x = 33.46/3.96
  6. Step 6: Final answer
    x = 8.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.