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Finding the Third Proportional to 204,756 and 309,999

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Solution

The third proportional to 204,756 and 309,999 is: 469,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,756 : 309,999 = 309,999 : x
  2. Step 2: Convert to fraction form
    204,756/309,999 = 309,999/x
  3. Step 3: Cross multiply
    204,756x = 309,999 × 309,999
  4. Step 4: Simplify right side
    204,756x = 96,099,380,001
  5. Step 5: Solve for x
    x = 96,099,380,001/204,756
  6. Step 6: Final answer
    x = 469,336.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.