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Finding the Third Proportional to 5.79 and 11.89

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Solution

The third proportional to 5.79 and 11.89 is: 24.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.79 : 11.89 = 11.89 : x
  2. Step 2: Convert to fraction form
    5.79/11.89 = 11.89/x
  3. Step 3: Cross multiply
    5.79x = 11.89 × 11.89
  4. Step 4: Simplify right side
    5.79x = 141.37
  5. Step 5: Solve for x
    x = 141.37/5.79
  6. Step 6: Final answer
    x = 24.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.