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Finding the Third Proportional to 312,737 and 682,822

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Solution

The third proportional to 312,737 and 682,822 is: 1,490,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,737 : 682,822 = 682,822 : x
  2. Step 2: Convert to fraction form
    312,737/682,822 = 682,822/x
  3. Step 3: Cross multiply
    312,737x = 682,822 × 682,822
  4. Step 4: Simplify right side
    312,737x = 466,245,883,684
  5. Step 5: Solve for x
    x = 466,245,883,684/312,737
  6. Step 6: Final answer
    x = 1,490,856.16

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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.