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Finding the Third Proportional to 8,847 and 13,578.75

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Solution

The third proportional to 8,847 and 13,578.75 is: 20,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847 : 13,578.75 = 13,578.75 : x
  2. Step 2: Convert to fraction form
    8,847/13,578.75 = 13,578.75/x
  3. Step 3: Cross multiply
    8,847x = 13,578.75 × 13,578.75
  4. Step 4: Simplify right side
    8,847x = 184,382,451.56
  5. Step 5: Solve for x
    x = 184,382,451.56/8,847
  6. Step 6: Final answer
    x = 20,841.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.