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Finding the Third Proportional to 387,915 and 822,474

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Solution

The third proportional to 387,915 and 822,474 is: 1,743,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,915 : 822,474 = 822,474 : x
  2. Step 2: Convert to fraction form
    387,915/822,474 = 822,474/x
  3. Step 3: Cross multiply
    387,915x = 822,474 × 822,474
  4. Step 4: Simplify right side
    387,915x = 676,463,480,676
  5. Step 5: Solve for x
    x = 676,463,480,676/387,915
  6. Step 6: Final answer
    x = 1,743,844.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.