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Finding the Third Proportional to 396,576 and 819,828

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Solution

The third proportional to 396,576 and 819,828 is: 1,694,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,576 : 819,828 = 819,828 : x
  2. Step 2: Convert to fraction form
    396,576/819,828 = 819,828/x
  3. Step 3: Cross multiply
    396,576x = 819,828 × 819,828
  4. Step 4: Simplify right side
    396,576x = 672,117,949,584
  5. Step 5: Solve for x
    x = 672,117,949,584/396,576
  6. Step 6: Final answer
    x = 1,694,802.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.