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Finding the Third Proportional to 381,214 and 828,828

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Solution

The third proportional to 381,214 and 828,828 is: 1,802,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,214 : 828,828 = 828,828 : x
  2. Step 2: Convert to fraction form
    381,214/828,828 = 828,828/x
  3. Step 3: Cross multiply
    381,214x = 828,828 × 828,828
  4. Step 4: Simplify right side
    381,214x = 686,955,853,584
  5. Step 5: Solve for x
    x = 686,955,853,584/381,214
  6. Step 6: Final answer
    x = 1,802,021.58

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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.