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Finding the Third Proportional to 9,951 and 21,661

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Solution

The third proportional to 9,951 and 21,661 is: 47,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951 : 21,661 = 21,661 : x
  2. Step 2: Convert to fraction form
    9,951/21,661 = 21,661/x
  3. Step 3: Cross multiply
    9,951x = 21,661 × 21,661
  4. Step 4: Simplify right side
    9,951x = 469,198,921
  5. Step 5: Solve for x
    x = 469,198,921/9,951
  6. Step 6: Final answer
    x = 47,150.93

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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.