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Finding the Third Proportional to 352,131 and 686,622

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Solution

The third proportional to 352,131 and 686,622 is: 1,338,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,131 : 686,622 = 686,622 : x
  2. Step 2: Convert to fraction form
    352,131/686,622 = 686,622/x
  3. Step 3: Cross multiply
    352,131x = 686,622 × 686,622
  4. Step 4: Simplify right side
    352,131x = 471,449,770,884
  5. Step 5: Solve for x
    x = 471,449,770,884/352,131
  6. Step 6: Final answer
    x = 1,338,847.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.