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Finding the Third Proportional to 381,188 and 828,027

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Solution

The third proportional to 381,188 and 828,027 is: 1,798,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,188 : 828,027 = 828,027 : x
  2. Step 2: Convert to fraction form
    381,188/828,027 = 828,027/x
  3. Step 3: Cross multiply
    381,188x = 828,027 × 828,027
  4. Step 4: Simplify right side
    381,188x = 685,628,712,729
  5. Step 5: Solve for x
    x = 685,628,712,729/381,188
  6. Step 6: Final answer
    x = 1,798,662.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.