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Finding the Third Proportional to 338,309 and 475,992

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Solution

The third proportional to 338,309 and 475,992 is: 669,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,309 : 475,992 = 475,992 : x
  2. Step 2: Convert to fraction form
    338,309/475,992 = 475,992/x
  3. Step 3: Cross multiply
    338,309x = 475,992 × 475,992
  4. Step 4: Simplify right side
    338,309x = 226,568,384,064
  5. Step 5: Solve for x
    x = 226,568,384,064/338,309
  6. Step 6: Final answer
    x = 669,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.