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Finding the Third Proportional to 313,422 and 667,302

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Solution

The third proportional to 313,422 and 667,302 is: 1,420,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,422 : 667,302 = 667,302 : x
  2. Step 2: Convert to fraction form
    313,422/667,302 = 667,302/x
  3. Step 3: Cross multiply
    313,422x = 667,302 × 667,302
  4. Step 4: Simplify right side
    313,422x = 445,291,959,204
  5. Step 5: Solve for x
    x = 445,291,959,204/313,422
  6. Step 6: Final answer
    x = 1,420,742.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.