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Finding the Third Proportional to 422,489 and 939,436

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Solution

The third proportional to 422,489 and 939,436 is: 2,088,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,489 : 939,436 = 939,436 : x
  2. Step 2: Convert to fraction form
    422,489/939,436 = 939,436/x
  3. Step 3: Cross multiply
    422,489x = 939,436 × 939,436
  4. Step 4: Simplify right side
    422,489x = 882,539,998,096
  5. Step 5: Solve for x
    x = 882,539,998,096/422,489
  6. Step 6: Final answer
    x = 2,088,906.45

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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.