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Finding the Third Proportional to 311,067 and 666,357

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Solution

The third proportional to 311,067 and 666,357 is: 1,427,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 666,357 = 666,357 : x
  2. Step 2: Convert to fraction form
    311,067/666,357 = 666,357/x
  3. Step 3: Cross multiply
    311,067x = 666,357 × 666,357
  4. Step 4: Simplify right side
    311,067x = 444,031,651,449
  5. Step 5: Solve for x
    x = 444,031,651,449/311,067
  6. Step 6: Final answer
    x = 1,427,446.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.