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Finding the Third Proportional to 85,084 and 198,718

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Solution

The third proportional to 85,084 and 198,718 is: 464,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084 : 198,718 = 198,718 : x
  2. Step 2: Convert to fraction form
    85,084/198,718 = 198,718/x
  3. Step 3: Cross multiply
    85,084x = 198,718 × 198,718
  4. Step 4: Simplify right side
    85,084x = 39,488,843,524
  5. Step 5: Solve for x
    x = 39,488,843,524/85,084
  6. Step 6: Final answer
    x = 464,115.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.