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Finding the Third Proportional to 312,780 and 682,900

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Solution

The third proportional to 312,780 and 682,900 is: 1,490,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,780 : 682,900 = 682,900 : x
  2. Step 2: Convert to fraction form
    312,780/682,900 = 682,900/x
  3. Step 3: Cross multiply
    312,780x = 682,900 × 682,900
  4. Step 4: Simplify right side
    312,780x = 466,352,410,000
  5. Step 5: Solve for x
    x = 466,352,410,000/312,780
  6. Step 6: Final answer
    x = 1,490,991.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.