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Finding the Third Proportional to 338,414 and 727,864

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Solution

The third proportional to 338,414 and 727,864 is: 1,565,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,414 : 727,864 = 727,864 : x
  2. Step 2: Convert to fraction form
    338,414/727,864 = 727,864/x
  3. Step 3: Cross multiply
    338,414x = 727,864 × 727,864
  4. Step 4: Simplify right side
    338,414x = 529,786,002,496
  5. Step 5: Solve for x
    x = 529,786,002,496/338,414
  6. Step 6: Final answer
    x = 1,565,496.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.