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Finding the Third Proportional to 422,375 and 919,107

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Solution

The third proportional to 422,375 and 919,107 is: 2,000,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,375 : 919,107 = 919,107 : x
  2. Step 2: Convert to fraction form
    422,375/919,107 = 919,107/x
  3. Step 3: Cross multiply
    422,375x = 919,107 × 919,107
  4. Step 4: Simplify right side
    422,375x = 844,757,677,449
  5. Step 5: Solve for x
    x = 844,757,677,449/422,375
  6. Step 6: Final answer
    x = 2,000,018.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.