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Finding the Third Proportional to 381,562 and 822,170

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Solution

The third proportional to 381,562 and 822,170 is: 1,771,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,562 : 822,170 = 822,170 : x
  2. Step 2: Convert to fraction form
    381,562/822,170 = 822,170/x
  3. Step 3: Cross multiply
    381,562x = 822,170 × 822,170
  4. Step 4: Simplify right side
    381,562x = 675,963,508,900
  5. Step 5: Solve for x
    x = 675,963,508,900/381,562
  6. Step 6: Final answer
    x = 1,771,569.26

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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.