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Finding the Third Proportional to 3.89 and 5.68

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Solution

The third proportional to 3.89 and 5.68 is: 8.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.89 : 5.68 = 5.68 : x
  2. Step 2: Convert to fraction form
    3.89/5.68 = 5.68/x
  3. Step 3: Cross multiply
    3.89x = 5.68 × 5.68
  4. Step 4: Simplify right side
    3.89x = 32.30
  5. Step 5: Solve for x
    x = 32.30/3.89
  6. Step 6: Final answer
    x = 8.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.