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Finding the Third Proportional to 33,723 and 80,186.63

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Solution

The third proportional to 33,723 and 80,186.63 is: 190,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723 : 80,186.63 = 80,186.63 : x
  2. Step 2: Convert to fraction form
    33,723/80,186.63 = 80,186.63/x
  3. Step 3: Cross multiply
    33,723x = 80,186.63 × 80,186.63
  4. Step 4: Simplify right side
    33,723x = 6,429,894,828.89
  5. Step 5: Solve for x
    x = 6,429,894,828.89/33,723
  6. Step 6: Final answer
    x = 190,667.94

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.