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Finding the Third Proportional to 313,812 and 682,020

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Solution

The third proportional to 313,812 and 682,020 is: 1,482,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812 : 682,020 = 682,020 : x
  2. Step 2: Convert to fraction form
    313,812/682,020 = 682,020/x
  3. Step 3: Cross multiply
    313,812x = 682,020 × 682,020
  4. Step 4: Simplify right side
    313,812x = 465,151,280,400
  5. Step 5: Solve for x
    x = 465,151,280,400/313,812
  6. Step 6: Final answer
    x = 1,482,260.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.