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Finding the Third Proportional to 303,458 and 674,308

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Solution

The third proportional to 303,458 and 674,308 is: 1,498,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,458 : 674,308 = 674,308 : x
  2. Step 2: Convert to fraction form
    303,458/674,308 = 674,308/x
  3. Step 3: Cross multiply
    303,458x = 674,308 × 674,308
  4. Step 4: Simplify right side
    303,458x = 454,691,278,864
  5. Step 5: Solve for x
    x = 454,691,278,864/303,458
  6. Step 6: Final answer
    x = 1,498,366.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.