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Finding the Third Proportional to 9,999 and 11,067

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Solution

The third proportional to 9,999 and 11,067 is: 12,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999 : 11,067 = 11,067 : x
  2. Step 2: Convert to fraction form
    9,999/11,067 = 11,067/x
  3. Step 3: Cross multiply
    9,999x = 11,067 × 11,067
  4. Step 4: Simplify right side
    9,999x = 122,478,489
  5. Step 5: Solve for x
    x = 122,478,489/9,999
  6. Step 6: Final answer
    x = 12,249.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.