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Finding the Third Proportional to 422,474 and 939,403

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Solution

The third proportional to 422,474 and 939,403 is: 2,088,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,474 : 939,403 = 939,403 : x
  2. Step 2: Convert to fraction form
    422,474/939,403 = 939,403/x
  3. Step 3: Cross multiply
    422,474x = 939,403 × 939,403
  4. Step 4: Simplify right side
    422,474x = 882,477,996,409
  5. Step 5: Solve for x
    x = 882,477,996,409/422,474
  6. Step 6: Final answer
    x = 2,088,833.86

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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.