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Finding the Third Proportional to 379,268 and 508,902

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Solution

The third proportional to 379,268 and 508,902 is: 682,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,268 : 508,902 = 508,902 : x
  2. Step 2: Convert to fraction form
    379,268/508,902 = 508,902/x
  3. Step 3: Cross multiply
    379,268x = 508,902 × 508,902
  4. Step 4: Simplify right side
    379,268x = 258,981,245,604
  5. Step 5: Solve for x
    x = 258,981,245,604/379,268
  6. Step 6: Final answer
    x = 682,844.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.