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Finding the Third Proportional to 21,647 and 27,661

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Solution

The third proportional to 21,647 and 27,661 is: 35,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647 : 27,661 = 27,661 : x
  2. Step 2: Convert to fraction form
    21,647/27,661 = 27,661/x
  3. Step 3: Cross multiply
    21,647x = 27,661 × 27,661
  4. Step 4: Simplify right side
    21,647x = 765,130,921
  5. Step 5: Solve for x
    x = 765,130,921/21,647
  6. Step 6: Final answer
    x = 35,345.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.