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Finding the Third Proportional to 311,154 and 682,580

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Solution

The third proportional to 311,154 and 682,580 is: 1,497,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,154 : 682,580 = 682,580 : x
  2. Step 2: Convert to fraction form
    311,154/682,580 = 682,580/x
  3. Step 3: Cross multiply
    311,154x = 682,580 × 682,580
  4. Step 4: Simplify right side
    311,154x = 465,915,456,400
  5. Step 5: Solve for x
    x = 465,915,456,400/311,154
  6. Step 6: Final answer
    x = 1,497,378.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.