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Finding the Third Proportional to 202,384 and 445,517

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Solution

The third proportional to 202,384 and 445,517 is: 980,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 445,517 = 445,517 : x
  2. Step 2: Convert to fraction form
    202,384/445,517 = 445,517/x
  3. Step 3: Cross multiply
    202,384x = 445,517 × 445,517
  4. Step 4: Simplify right side
    202,384x = 198,485,397,289
  5. Step 5: Solve for x
    x = 198,485,397,289/202,384
  6. Step 6: Final answer
    x = 980,736.61

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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.