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Finding the Third Proportional to 312,408 and 682,596

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Solution

The third proportional to 312,408 and 682,596 is: 1,491,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,408 : 682,596 = 682,596 : x
  2. Step 2: Convert to fraction form
    312,408/682,596 = 682,596/x
  3. Step 3: Cross multiply
    312,408x = 682,596 × 682,596
  4. Step 4: Simplify right side
    312,408x = 465,937,299,216
  5. Step 5: Solve for x
    x = 465,937,299,216/312,408
  6. Step 6: Final answer
    x = 1,491,438.44

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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.