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Finding the Third Proportional to 331,418 and 518,453

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Solution

The third proportional to 331,418 and 518,453 is: 811,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,418 : 518,453 = 518,453 : x
  2. Step 2: Convert to fraction form
    331,418/518,453 = 518,453/x
  3. Step 3: Cross multiply
    331,418x = 518,453 × 518,453
  4. Step 4: Simplify right side
    331,418x = 268,793,513,209
  5. Step 5: Solve for x
    x = 268,793,513,209/331,418
  6. Step 6: Final answer
    x = 811,040.78

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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.