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Finding the Third Proportional to 80,847 and 166,884.75

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Solution

The third proportional to 80,847 and 166,884.75 is: 344,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,847 : 166,884.75 = 166,884.75 : x
  2. Step 2: Convert to fraction form
    80,847/166,884.75 = 166,884.75/x
  3. Step 3: Cross multiply
    80,847x = 166,884.75 × 166,884.75
  4. Step 4: Simplify right side
    80,847x = 27,850,519,782.56
  5. Step 5: Solve for x
    x = 27,850,519,782.56/80,847
  6. Step 6: Final answer
    x = 344,484.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.