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Finding the Third Proportional to 10,923 and 11,907

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Solution

The third proportional to 10,923 and 11,907 is: 12,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923 : 11,907 = 11,907 : x
  2. Step 2: Convert to fraction form
    10,923/11,907 = 11,907/x
  3. Step 3: Cross multiply
    10,923x = 11,907 × 11,907
  4. Step 4: Simplify right side
    10,923x = 141,776,649
  5. Step 5: Solve for x
    x = 141,776,649/10,923
  6. Step 6: Final answer
    x = 12,979.64

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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.