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Finding the Third Proportional to 315,936 and 682,452

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Solution

The third proportional to 315,936 and 682,452 is: 1,474,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936 : 682,452 = 682,452 : x
  2. Step 2: Convert to fraction form
    315,936/682,452 = 682,452/x
  3. Step 3: Cross multiply
    315,936x = 682,452 × 682,452
  4. Step 4: Simplify right side
    315,936x = 465,740,732,304
  5. Step 5: Solve for x
    x = 465,740,732,304/315,936
  6. Step 6: Final answer
    x = 1,474,161.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.