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Finding the Third Proportional to 9,849 and 20,811

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Solution

The third proportional to 9,849 and 20,811 is: 43,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849 : 20,811 = 20,811 : x
  2. Step 2: Convert to fraction form
    9,849/20,811 = 20,811/x
  3. Step 3: Cross multiply
    9,849x = 20,811 × 20,811
  4. Step 4: Simplify right side
    9,849x = 433,097,721
  5. Step 5: Solve for x
    x = 433,097,721/9,849
  6. Step 6: Final answer
    x = 43,973.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.