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Finding the Third Proportional to 3.51 and 6.76

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Solution

The third proportional to 3.51 and 6.76 is: 13.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.51 : 6.76 = 6.76 : x
  2. Step 2: Convert to fraction form
    3.51/6.76 = 6.76/x
  3. Step 3: Cross multiply
    3.51x = 6.76 × 6.76
  4. Step 4: Simplify right side
    3.51x = 45.75
  5. Step 5: Solve for x
    x = 45.75/3.51
  6. Step 6: Final answer
    x = 13.05

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.