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Finding the Third Proportional to 422,376 and 919,112

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Solution

The third proportional to 422,376 and 919,112 is: 2,000,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,376 : 919,112 = 919,112 : x
  2. Step 2: Convert to fraction form
    422,376/919,112 = 919,112/x
  3. Step 3: Cross multiply
    422,376x = 919,112 × 919,112
  4. Step 4: Simplify right side
    422,376x = 844,766,868,544
  5. Step 5: Solve for x
    x = 844,766,868,544/422,376
  6. Step 6: Final answer
    x = 2,000,035.20

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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.