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Finding the Third Proportional to 213,966 and 331,131

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Solution

The third proportional to 213,966 and 331,131 is: 512,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,966 : 331,131 = 331,131 : x
  2. Step 2: Convert to fraction form
    213,966/331,131 = 331,131/x
  3. Step 3: Cross multiply
    213,966x = 331,131 × 331,131
  4. Step 4: Simplify right side
    213,966x = 109,647,739,161
  5. Step 5: Solve for x
    x = 109,647,739,161/213,966
  6. Step 6: Final answer
    x = 512,454.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.