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Finding the Third Proportional to 21,279 and 33,679

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Solution

The third proportional to 21,279 and 33,679 is: 53,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,279 : 33,679 = 33,679 : x
  2. Step 2: Convert to fraction form
    21,279/33,679 = 33,679/x
  3. Step 3: Cross multiply
    21,279x = 33,679 × 33,679
  4. Step 4: Simplify right side
    21,279x = 1,134,275,041
  5. Step 5: Solve for x
    x = 1,134,275,041/21,279
  6. Step 6: Final answer
    x = 53,304.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.