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Finding the Third Proportional to 313,240 and 682,936

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Solution

The third proportional to 313,240 and 682,936 is: 1,488,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,240 : 682,936 = 682,936 : x
  2. Step 2: Convert to fraction form
    313,240/682,936 = 682,936/x
  3. Step 3: Cross multiply
    313,240x = 682,936 × 682,936
  4. Step 4: Simplify right side
    313,240x = 466,401,580,096
  5. Step 5: Solve for x
    x = 466,401,580,096/313,240
  6. Step 6: Final answer
    x = 1,488,959.20

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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.