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Finding the Third Proportional to 331,219 and 718,449

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Solution

The third proportional to 331,219 and 718,449 is: 1,558,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,219 : 718,449 = 718,449 : x
  2. Step 2: Convert to fraction form
    331,219/718,449 = 718,449/x
  3. Step 3: Cross multiply
    331,219x = 718,449 × 718,449
  4. Step 4: Simplify right side
    331,219x = 516,168,965,601
  5. Step 5: Solve for x
    x = 516,168,965,601/331,219
  6. Step 6: Final answer
    x = 1,558,391.78

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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.