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Finding the Third Proportional to 2.86 and 3.89

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Solution

The third proportional to 2.86 and 3.89 is: 5.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.86 : 3.89 = 3.89 : x
  2. Step 2: Convert to fraction form
    2.86/3.89 = 3.89/x
  3. Step 3: Cross multiply
    2.86x = 3.89 × 3.89
  4. Step 4: Simplify right side
    2.86x = 15.14
  5. Step 5: Solve for x
    x = 15.14/2.86
  6. Step 6: Final answer
    x = 5.29

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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.