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Finding the Third Proportional to 307,512 and 667,504

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Solution

The third proportional to 307,512 and 667,504 is: 1,448,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,512 : 667,504 = 667,504 : x
  2. Step 2: Convert to fraction form
    307,512/667,504 = 667,504/x
  3. Step 3: Cross multiply
    307,512x = 667,504 × 667,504
  4. Step 4: Simplify right side
    307,512x = 445,561,590,016
  5. Step 5: Solve for x
    x = 445,561,590,016/307,512
  6. Step 6: Final answer
    x = 1,448,924.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.