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Finding the Third Proportional to 321,304 and 683,867

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Solution

The third proportional to 321,304 and 683,867 is: 1,455,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,304 : 683,867 = 683,867 : x
  2. Step 2: Convert to fraction form
    321,304/683,867 = 683,867/x
  3. Step 3: Cross multiply
    321,304x = 683,867 × 683,867
  4. Step 4: Simplify right side
    321,304x = 467,674,073,689
  5. Step 5: Solve for x
    x = 467,674,073,689/321,304
  6. Step 6: Final answer
    x = 1,455,550.11

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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.