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Finding the Third Proportional to 213,963 and 331,311

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Solution

The third proportional to 213,963 and 331,311 is: 513,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963 : 331,311 = 331,311 : x
  2. Step 2: Convert to fraction form
    213,963/331,311 = 331,311/x
  3. Step 3: Cross multiply
    213,963x = 331,311 × 331,311
  4. Step 4: Simplify right side
    213,963x = 109,766,978,721
  5. Step 5: Solve for x
    x = 109,766,978,721/213,963
  6. Step 6: Final answer
    x = 513,018.51

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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.