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Finding the Third Proportional to 9,891 and 20,149

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Solution

The third proportional to 9,891 and 20,149 is: 41,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 20,149 = 20,149 : x
  2. Step 2: Convert to fraction form
    9,891/20,149 = 20,149/x
  3. Step 3: Cross multiply
    9,891x = 20,149 × 20,149
  4. Step 4: Simplify right side
    9,891x = 405,982,201
  5. Step 5: Solve for x
    x = 405,982,201/9,891
  6. Step 6: Final answer
    x = 41,045.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.