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Finding the Third Proportional to 378,963 and 822,239

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Solution

The third proportional to 378,963 and 822,239 is: 1,784,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,963 : 822,239 = 822,239 : x
  2. Step 2: Convert to fraction form
    378,963/822,239 = 822,239/x
  3. Step 3: Cross multiply
    378,963x = 822,239 × 822,239
  4. Step 4: Simplify right side
    378,963x = 676,076,973,121
  5. Step 5: Solve for x
    x = 676,076,973,121/378,963
  6. Step 6: Final answer
    x = 1,784,018.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.