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Finding the Third Proportional to 309,660 and 680,214

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Solution

The third proportional to 309,660 and 680,214 is: 1,494,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,660 : 680,214 = 680,214 : x
  2. Step 2: Convert to fraction form
    309,660/680,214 = 680,214/x
  3. Step 3: Cross multiply
    309,660x = 680,214 × 680,214
  4. Step 4: Simplify right side
    309,660x = 462,691,085,796
  5. Step 5: Solve for x
    x = 462,691,085,796/309,660
  6. Step 6: Final answer
    x = 1,494,190.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.