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Finding the Third Proportional to 21,681 and 33,279

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Solution

The third proportional to 21,681 and 33,279 is: 51,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 33,279 = 33,279 : x
  2. Step 2: Convert to fraction form
    21,681/33,279 = 33,279/x
  3. Step 3: Cross multiply
    21,681x = 33,279 × 33,279
  4. Step 4: Simplify right side
    21,681x = 1,107,491,841
  5. Step 5: Solve for x
    x = 1,107,491,841/21,681
  6. Step 6: Final answer
    x = 51,081.22

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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.