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Finding the Third Proportional to 5.99 and 11.12

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Solution

The third proportional to 5.99 and 11.12 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.99 : 11.12 = 11.12 : x
  2. Step 2: Convert to fraction form
    5.99/11.12 = 11.12/x
  3. Step 3: Cross multiply
    5.99x = 11.12 × 11.12
  4. Step 4: Simplify right side
    5.99x = 123.69
  5. Step 5: Solve for x
    x = 123.69/5.99
  6. Step 6: Final answer
    x = 20.64

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.