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Finding the Third Proportional to 321,160 and 667,808

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Solution

The third proportional to 321,160 and 667,808 is: 1,388,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,160 : 667,808 = 667,808 : x
  2. Step 2: Convert to fraction form
    321,160/667,808 = 667,808/x
  3. Step 3: Cross multiply
    321,160x = 667,808 × 667,808
  4. Step 4: Simplify right side
    321,160x = 445,967,524,864
  5. Step 5: Solve for x
    x = 445,967,524,864/321,160
  6. Step 6: Final answer
    x = 1,388,614.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.