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Finding the Third Proportional to 207,831 and 315,027

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Solution

The third proportional to 207,831 and 315,027 is: 477,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,831 : 315,027 = 315,027 : x
  2. Step 2: Convert to fraction form
    207,831/315,027 = 315,027/x
  3. Step 3: Cross multiply
    207,831x = 315,027 × 315,027
  4. Step 4: Simplify right side
    207,831x = 99,242,010,729
  5. Step 5: Solve for x
    x = 99,242,010,729/207,831
  6. Step 6: Final answer
    x = 477,513.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.