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Finding the Third Proportional to 311,580 and 682,452

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Solution

The third proportional to 311,580 and 682,452 is: 1,494,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580 : 682,452 = 682,452 : x
  2. Step 2: Convert to fraction form
    311,580/682,452 = 682,452/x
  3. Step 3: Cross multiply
    311,580x = 682,452 × 682,452
  4. Step 4: Simplify right side
    311,580x = 465,740,732,304
  5. Step 5: Solve for x
    x = 465,740,732,304/311,580
  6. Step 6: Final answer
    x = 1,494,770.95

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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.