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Finding the Third Proportional to 321,273 and 667,818

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Solution

The third proportional to 321,273 and 667,818 is: 1,388,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,273 : 667,818 = 667,818 : x
  2. Step 2: Convert to fraction form
    321,273/667,818 = 667,818/x
  3. Step 3: Cross multiply
    321,273x = 667,818 × 667,818
  4. Step 4: Simplify right side
    321,273x = 445,980,881,124
  5. Step 5: Solve for x
    x = 445,980,881,124/321,273
  6. Step 6: Final answer
    x = 1,388,167.95

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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.