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Finding the Third Proportional to 11,019 and 11,991

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Solution

The third proportional to 11,019 and 11,991 is: 13,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019 : 11,991 = 11,991 : x
  2. Step 2: Convert to fraction form
    11,019/11,991 = 11,991/x
  3. Step 3: Cross multiply
    11,019x = 11,991 × 11,991
  4. Step 4: Simplify right side
    11,019x = 143,784,081
  5. Step 5: Solve for x
    x = 143,784,081/11,019
  6. Step 6: Final answer
    x = 13,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.