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Finding the Third Proportional to 2.89 and 3.92

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Solution

The third proportional to 2.89 and 3.92 is: 5.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.89 : 3.92 = 3.92 : x
  2. Step 2: Convert to fraction form
    2.89/3.92 = 3.92/x
  3. Step 3: Cross multiply
    2.89x = 3.92 × 3.92
  4. Step 4: Simplify right side
    2.89x = 15.39
  5. Step 5: Solve for x
    x = 15.39/2.89
  6. Step 6: Final answer
    x = 5.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.