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Finding the Third Proportional to 33,840 and 77,994

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Solution

The third proportional to 33,840 and 77,994 is: 179,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840 : 77,994 = 77,994 : x
  2. Step 2: Convert to fraction form
    33,840/77,994 = 77,994/x
  3. Step 3: Cross multiply
    33,840x = 77,994 × 77,994
  4. Step 4: Simplify right side
    33,840x = 6,083,064,036
  5. Step 5: Solve for x
    x = 6,083,064,036/33,840
  6. Step 6: Final answer
    x = 179,759.58

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.