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Finding the Third Proportional to 204,835.50 and 450,321.75

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Solution

The third proportional to 204,835.50 and 450,321.75 is: 990,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,835.50 : 450,321.75 = 450,321.75 : x
  2. Step 2: Convert to fraction form
    204,835.50/450,321.75 = 450,321.75/x
  3. Step 3: Cross multiply
    204,835.50x = 450,321.75 × 450,321.75
  4. Step 4: Simplify right side
    204,835.50x = 202,789,678,523.06
  5. Step 5: Solve for x
    x = 202,789,678,523.06/204,835.50
  6. Step 6: Final answer
    x = 990,012.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.