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Finding the Third Proportional to 204,124 and 448,100

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Solution

The third proportional to 204,124 and 448,100 is: 983,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,124 : 448,100 = 448,100 : x
  2. Step 2: Convert to fraction form
    204,124/448,100 = 448,100/x
  3. Step 3: Cross multiply
    204,124x = 448,100 × 448,100
  4. Step 4: Simplify right side
    204,124x = 200,793,610,000
  5. Step 5: Solve for x
    x = 200,793,610,000/204,124
  6. Step 6: Final answer
    x = 983,684.48

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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.