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Finding the Third Proportional to 33,836 and 77,984

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Solution

The third proportional to 33,836 and 77,984 is: 179,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836 : 77,984 = 77,984 : x
  2. Step 2: Convert to fraction form
    33,836/77,984 = 77,984/x
  3. Step 3: Cross multiply
    33,836x = 77,984 × 77,984
  4. Step 4: Simplify right side
    33,836x = 6,081,504,256
  5. Step 5: Solve for x
    x = 6,081,504,256/33,836
  6. Step 6: Final answer
    x = 179,734.73

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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.