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Finding the Third Proportional to 331,420 and 518,455

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Solution

The third proportional to 331,420 and 518,455 is: 811,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,420 : 518,455 = 518,455 : x
  2. Step 2: Convert to fraction form
    331,420/518,455 = 518,455/x
  3. Step 3: Cross multiply
    331,420x = 518,455 × 518,455
  4. Step 4: Simplify right side
    331,420x = 268,795,587,025
  5. Step 5: Solve for x
    x = 268,795,587,025/331,420
  6. Step 6: Final answer
    x = 811,042.14

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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.