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Finding the Third Proportional to 381,212 and 828,824

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Solution

The third proportional to 381,212 and 828,824 is: 1,802,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,212 : 828,824 = 828,824 : x
  2. Step 2: Convert to fraction form
    381,212/828,824 = 828,824/x
  3. Step 3: Cross multiply
    381,212x = 828,824 × 828,824
  4. Step 4: Simplify right side
    381,212x = 686,949,222,976
  5. Step 5: Solve for x
    x = 686,949,222,976/381,212
  6. Step 6: Final answer
    x = 1,802,013.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.