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Finding the Third Proportional to 21,821 and 33,367

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Solution

The third proportional to 21,821 and 33,367 is: 51,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821 : 33,367 = 33,367 : x
  2. Step 2: Convert to fraction form
    21,821/33,367 = 33,367/x
  3. Step 3: Cross multiply
    21,821x = 33,367 × 33,367
  4. Step 4: Simplify right side
    21,821x = 1,113,356,689
  5. Step 5: Solve for x
    x = 1,113,356,689/21,821
  6. Step 6: Final answer
    x = 51,022.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.