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Finding the Third Proportional to 21,831 and 47,661

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Solution

The third proportional to 21,831 and 47,661 is: 104,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831 : 47,661 = 47,661 : x
  2. Step 2: Convert to fraction form
    21,831/47,661 = 47,661/x
  3. Step 3: Cross multiply
    21,831x = 47,661 × 47,661
  4. Step 4: Simplify right side
    21,831x = 2,271,570,921
  5. Step 5: Solve for x
    x = 2,271,570,921/21,831
  6. Step 6: Final answer
    x = 104,052.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.