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Finding the Third Proportional to 204,867 and 447,092

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Solution

The third proportional to 204,867 and 447,092 is: 975,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,867 : 447,092 = 447,092 : x
  2. Step 2: Convert to fraction form
    204,867/447,092 = 447,092/x
  3. Step 3: Cross multiply
    204,867x = 447,092 × 447,092
  4. Step 4: Simplify right side
    204,867x = 199,891,256,464
  5. Step 5: Solve for x
    x = 199,891,256,464/204,867
  6. Step 6: Final answer
    x = 975,712.32

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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.