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Finding the Third Proportional to 377,644 and 821,694

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Solution

The third proportional to 377,644 and 821,694 is: 1,787,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,644 : 821,694 = 821,694 : x
  2. Step 2: Convert to fraction form
    377,644/821,694 = 821,694/x
  3. Step 3: Cross multiply
    377,644x = 821,694 × 821,694
  4. Step 4: Simplify right side
    377,644x = 675,181,029,636
  5. Step 5: Solve for x
    x = 675,181,029,636/377,644
  6. Step 6: Final answer
    x = 1,787,877.02

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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.