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Finding the Third Proportional to 378,504 and 826,672

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Solution

The third proportional to 378,504 and 826,672 is: 1,805,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,504 : 826,672 = 826,672 : x
  2. Step 2: Convert to fraction form
    378,504/826,672 = 826,672/x
  3. Step 3: Cross multiply
    378,504x = 826,672 × 826,672
  4. Step 4: Simplify right side
    378,504x = 683,386,595,584
  5. Step 5: Solve for x
    x = 683,386,595,584/378,504
  6. Step 6: Final answer
    x = 1,805,493.72

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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.