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Finding the Third Proportional to 21,678 and 33,057

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Solution

The third proportional to 21,678 and 33,057 is: 50,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 33,057 = 33,057 : x
  2. Step 2: Convert to fraction form
    21,678/33,057 = 33,057/x
  3. Step 3: Cross multiply
    21,678x = 33,057 × 33,057
  4. Step 4: Simplify right side
    21,678x = 1,092,765,249
  5. Step 5: Solve for x
    x = 1,092,765,249/21,678
  6. Step 6: Final answer
    x = 50,408.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.