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Finding the Third Proportional to 87,078 and 177,845.63

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Solution

The third proportional to 87,078 and 177,845.63 is: 363,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,078 : 177,845.63 = 177,845.63 : x
  2. Step 2: Convert to fraction form
    87,078/177,845.63 = 177,845.63/x
  3. Step 3: Cross multiply
    87,078x = 177,845.63 × 177,845.63
  4. Step 4: Simplify right side
    87,078x = 31,629,066,331.64
  5. Step 5: Solve for x
    x = 31,629,066,331.64/87,078
  6. Step 6: Final answer
    x = 363,226.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.