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Finding the Third Proportional to 9,831 and 20,283

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Solution

The third proportional to 9,831 and 20,283 is: 41,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831 : 20,283 = 20,283 : x
  2. Step 2: Convert to fraction form
    9,831/20,283 = 20,283/x
  3. Step 3: Cross multiply
    9,831x = 20,283 × 20,283
  4. Step 4: Simplify right side
    9,831x = 411,400,089
  5. Step 5: Solve for x
    x = 411,400,089/9,831
  6. Step 6: Final answer
    x = 41,847.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.