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Finding the Third Proportional to 451,982 and 683,805

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Solution

The third proportional to 451,982 and 683,805 is: 1,034,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,982 : 683,805 = 683,805 : x
  2. Step 2: Convert to fraction form
    451,982/683,805 = 683,805/x
  3. Step 3: Cross multiply
    451,982x = 683,805 × 683,805
  4. Step 4: Simplify right side
    451,982x = 467,589,278,025
  5. Step 5: Solve for x
    x = 467,589,278,025/451,982
  6. Step 6: Final answer
    x = 1,034,530.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.