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Finding the Third Proportional to 33,840 and 51,408

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Solution

The third proportional to 33,840 and 51,408 is: 78,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840 : 51,408 = 51,408 : x
  2. Step 2: Convert to fraction form
    33,840/51,408 = 51,408/x
  3. Step 3: Cross multiply
    33,840x = 51,408 × 51,408
  4. Step 4: Simplify right side
    33,840x = 2,642,782,464
  5. Step 5: Solve for x
    x = 2,642,782,464/33,840
  6. Step 6: Final answer
    x = 78,096.41

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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.