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Finding the Third Proportional to 3.06 and 4.89

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Solution

The third proportional to 3.06 and 4.89 is: 7.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.89 = 4.89 : x
  2. Step 2: Convert to fraction form
    3.06/4.89 = 4.89/x
  3. Step 3: Cross multiply
    3.06x = 4.89 × 4.89
  4. Step 4: Simplify right side
    3.06x = 23.88
  5. Step 5: Solve for x
    x = 23.88/3.06
  6. Step 6: Final answer
    x = 7.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.