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Finding the Third Proportional to 422,483 and 939,424

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Solution

The third proportional to 422,483 and 939,424 is: 2,088,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,483 : 939,424 = 939,424 : x
  2. Step 2: Convert to fraction form
    422,483/939,424 = 939,424/x
  3. Step 3: Cross multiply
    422,483x = 939,424 × 939,424
  4. Step 4: Simplify right side
    422,483x = 882,517,451,776
  5. Step 5: Solve for x
    x = 882,517,451,776/422,483
  6. Step 6: Final answer
    x = 2,088,882.75

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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.