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Finding the Third Proportional to 307,514 and 667,508

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Solution

The third proportional to 307,514 and 667,508 is: 1,448,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,514 : 667,508 = 667,508 : x
  2. Step 2: Convert to fraction form
    307,514/667,508 = 667,508/x
  3. Step 3: Cross multiply
    307,514x = 667,508 × 667,508
  4. Step 4: Simplify right side
    307,514x = 445,566,930,064
  5. Step 5: Solve for x
    x = 445,566,930,064/307,514
  6. Step 6: Final answer
    x = 1,448,932.18

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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.