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Finding the Third Proportional to 422,376 and 919,108.50

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Solution

The third proportional to 422,376 and 919,108.50 is: 2,000,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,376 : 919,108.50 = 919,108.50 : x
  2. Step 2: Convert to fraction form
    422,376/919,108.50 = 919,108.50/x
  3. Step 3: Cross multiply
    422,376x = 919,108.50 × 919,108.50
  4. Step 4: Simplify right side
    422,376x = 844,760,434,772.25
  5. Step 5: Solve for x
    x = 844,760,434,772.25/422,376
  6. Step 6: Final answer
    x = 2,000,019.97

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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.