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Finding the Third Proportional to 313,701 and 667,860

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Solution

The third proportional to 313,701 and 667,860 is: 1,421,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,701 : 667,860 = 667,860 : x
  2. Step 2: Convert to fraction form
    313,701/667,860 = 667,860/x
  3. Step 3: Cross multiply
    313,701x = 667,860 × 667,860
  4. Step 4: Simplify right side
    313,701x = 446,036,979,600
  5. Step 5: Solve for x
    x = 446,036,979,600/313,701
  6. Step 6: Final answer
    x = 1,421,853.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.