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Finding the Third Proportional to 331,452 and 518,498

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Solution

The third proportional to 331,452 and 518,498 is: 811,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,452 : 518,498 = 518,498 : x
  2. Step 2: Convert to fraction form
    331,452/518,498 = 518,498/x
  3. Step 3: Cross multiply
    331,452x = 518,498 × 518,498
  4. Step 4: Simplify right side
    331,452x = 268,840,176,004
  5. Step 5: Solve for x
    x = 268,840,176,004/331,452
  6. Step 6: Final answer
    x = 811,098.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.