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Finding the Third Proportional to 204,223.50 and 443,868.75

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Solution

The third proportional to 204,223.50 and 443,868.75 is: 964,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,223.50 : 443,868.75 = 443,868.75 : x
  2. Step 2: Convert to fraction form
    204,223.50/443,868.75 = 443,868.75/x
  3. Step 3: Cross multiply
    204,223.50x = 443,868.75 × 443,868.75
  4. Step 4: Simplify right side
    204,223.50x = 197,019,467,226.56
  5. Step 5: Solve for x
    x = 197,019,467,226.56/204,223.50
  6. Step 6: Final answer
    x = 964,724.76

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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.