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Finding the Third Proportional to 422,494 and 939,449

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Solution

The third proportional to 422,494 and 939,449 is: 2,088,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,494 : 939,449 = 939,449 : x
  2. Step 2: Convert to fraction form
    422,494/939,449 = 939,449/x
  3. Step 3: Cross multiply
    422,494x = 939,449 × 939,449
  4. Step 4: Simplify right side
    422,494x = 882,564,423,601
  5. Step 5: Solve for x
    x = 882,564,423,601/422,494
  6. Step 6: Final answer
    x = 2,088,939.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.