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Finding the Third Proportional to 422,493 and 939,447

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Solution

The third proportional to 422,493 and 939,447 is: 2,088,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,493 : 939,447 = 939,447 : x
  2. Step 2: Convert to fraction form
    422,493/939,447 = 939,447/x
  3. Step 3: Cross multiply
    422,493x = 939,447 × 939,447
  4. Step 4: Simplify right side
    422,493x = 882,560,665,809
  5. Step 5: Solve for x
    x = 882,560,665,809/422,493
  6. Step 6: Final answer
    x = 2,088,935.59

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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.