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Finding the Third Proportional to 204,040.50 and 444,219

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Solution

The third proportional to 204,040.50 and 444,219 is: 967,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,040.50 : 444,219 = 444,219 : x
  2. Step 2: Convert to fraction form
    204,040.50/444,219 = 444,219/x
  3. Step 3: Cross multiply
    204,040.50x = 444,219 × 444,219
  4. Step 4: Simplify right side
    204,040.50x = 197,330,519,961
  5. Step 5: Solve for x
    x = 197,330,519,961/204,040.50
  6. Step 6: Final answer
    x = 967,114.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.