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Finding the Third Proportional to 204,204 and 448,680

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Solution

The third proportional to 204,204 and 448,680 is: 985,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,204 : 448,680 = 448,680 : x
  2. Step 2: Convert to fraction form
    204,204/448,680 = 448,680/x
  3. Step 3: Cross multiply
    204,204x = 448,680 × 448,680
  4. Step 4: Simplify right side
    204,204x = 201,313,742,400
  5. Step 5: Solve for x
    x = 201,313,742,400/204,204
  6. Step 6: Final answer
    x = 985,846.22

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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.