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Finding the Third Proportional to 377,921 and 822,268

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Solution

The third proportional to 377,921 and 822,268 is: 1,789,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,921 : 822,268 = 822,268 : x
  2. Step 2: Convert to fraction form
    377,921/822,268 = 822,268/x
  3. Step 3: Cross multiply
    377,921x = 822,268 × 822,268
  4. Step 4: Simplify right side
    377,921x = 676,124,663,824
  5. Step 5: Solve for x
    x = 676,124,663,824/377,921
  6. Step 6: Final answer
    x = 1,789,063.49

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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.