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Finding the Third Proportional to 381,519 and 822,087

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Solution

The third proportional to 381,519 and 822,087 is: 1,771,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,519 : 822,087 = 822,087 : x
  2. Step 2: Convert to fraction form
    381,519/822,087 = 822,087/x
  3. Step 3: Cross multiply
    381,519x = 822,087 × 822,087
  4. Step 4: Simplify right side
    381,519x = 675,827,035,569
  5. Step 5: Solve for x
    x = 675,827,035,569/381,519
  6. Step 6: Final answer
    x = 1,771,411.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.