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Finding the Third Proportional to 378,961 and 822,235

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Solution

The third proportional to 378,961 and 822,235 is: 1,784,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,961 : 822,235 = 822,235 : x
  2. Step 2: Convert to fraction form
    378,961/822,235 = 822,235/x
  3. Step 3: Cross multiply
    378,961x = 822,235 × 822,235
  4. Step 4: Simplify right side
    378,961x = 676,070,395,225
  5. Step 5: Solve for x
    x = 676,070,395,225/378,961
  6. Step 6: Final answer
    x = 1,784,010.48

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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.