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Finding the Third Proportional to 204,612 and 444,211.50

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Solution

The third proportional to 204,612 and 444,211.50 is: 964,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,612 : 444,211.50 = 444,211.50 : x
  2. Step 2: Convert to fraction form
    204,612/444,211.50 = 444,211.50/x
  3. Step 3: Cross multiply
    204,612x = 444,211.50 × 444,211.50
  4. Step 4: Simplify right side
    204,612x = 197,323,856,732.25
  5. Step 5: Solve for x
    x = 197,323,856,732.25/204,612
  6. Step 6: Final answer
    x = 964,380.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.