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Finding the Third Proportional to 8,923 and 13,879

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Solution

The third proportional to 8,923 and 13,879 is: 21,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923 : 13,879 = 13,879 : x
  2. Step 2: Convert to fraction form
    8,923/13,879 = 13,879/x
  3. Step 3: Cross multiply
    8,923x = 13,879 × 13,879
  4. Step 4: Simplify right side
    8,923x = 192,626,641
  5. Step 5: Solve for x
    x = 192,626,641/8,923
  6. Step 6: Final answer
    x = 21,587.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.