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Finding the Third Proportional to 204,333.75 and 490,891.50

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Solution

The third proportional to 204,333.75 and 490,891.50 is: 1,179,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,333.75 : 490,891.50 = 490,891.50 : x
  2. Step 2: Convert to fraction form
    204,333.75/490,891.50 = 490,891.50/x
  3. Step 3: Cross multiply
    204,333.75x = 490,891.50 × 490,891.50
  4. Step 4: Simplify right side
    204,333.75x = 240,974,464,772.25
  5. Step 5: Solve for x
    x = 240,974,464,772.25/204,333.75
  6. Step 6: Final answer
    x = 1,179,317.98

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.