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Finding the Third Proportional to 85,419 and 204,011

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Solution

The third proportional to 85,419 and 204,011 is: 487,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419 : 204,011 = 204,011 : x
  2. Step 2: Convert to fraction form
    85,419/204,011 = 204,011/x
  3. Step 3: Cross multiply
    85,419x = 204,011 × 204,011
  4. Step 4: Simplify right side
    85,419x = 41,620,488,121
  5. Step 5: Solve for x
    x = 41,620,488,121/85,419
  6. Step 6: Final answer
    x = 487,250.94

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.