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Finding the Third Proportional to 5.86 and 11.08

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Solution

The third proportional to 5.86 and 11.08 is: 20.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 11.08 = 11.08 : x
  2. Step 2: Convert to fraction form
    5.86/11.08 = 11.08/x
  3. Step 3: Cross multiply
    5.86x = 11.08 × 11.08
  4. Step 4: Simplify right side
    5.86x = 122.69
  5. Step 5: Solve for x
    x = 122.69/5.86
  6. Step 6: Final answer
    x = 20.92

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.