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Finding the Third Proportional to 33,867 and 51,219

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Solution

The third proportional to 33,867 and 51,219 is: 77,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,867 : 51,219 = 51,219 : x
  2. Step 2: Convert to fraction form
    33,867/51,219 = 51,219/x
  3. Step 3: Cross multiply
    33,867x = 51,219 × 51,219
  4. Step 4: Simplify right side
    33,867x = 2,623,385,961
  5. Step 5: Solve for x
    x = 2,623,385,961/33,867
  6. Step 6: Final answer
    x = 77,461.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.