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Finding the Third Proportional to 4.06 and 7.67

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Solution

The third proportional to 4.06 and 7.67 is: 14.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.06 : 7.67 = 7.67 : x
  2. Step 2: Convert to fraction form
    4.06/7.67 = 7.67/x
  3. Step 3: Cross multiply
    4.06x = 7.67 × 7.67
  4. Step 4: Simplify right side
    4.06x = 58.90
  5. Step 5: Solve for x
    x = 58.90/4.06
  6. Step 6: Final answer
    x = 14.50

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.