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Finding the Third Proportional to 3.95 and 6.74

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Solution

The third proportional to 3.95 and 6.74 is: 11.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.95 : 6.74 = 6.74 : x
  2. Step 2: Convert to fraction form
    3.95/6.74 = 6.74/x
  3. Step 3: Cross multiply
    3.95x = 6.74 × 6.74
  4. Step 4: Simplify right side
    3.95x = 45.47
  5. Step 5: Solve for x
    x = 45.47/3.95
  6. Step 6: Final answer
    x = 11.51

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.