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Finding the Third Proportional to 422,384 and 919,126

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Solution

The third proportional to 422,384 and 919,126 is: 2,000,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384 : 919,126 = 919,126 : x
  2. Step 2: Convert to fraction form
    422,384/919,126 = 919,126/x
  3. Step 3: Cross multiply
    422,384x = 919,126 × 919,126
  4. Step 4: Simplify right side
    422,384x = 844,792,603,876
  5. Step 5: Solve for x
    x = 844,792,603,876/422,384
  6. Step 6: Final answer
    x = 2,000,058.25

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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.