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Finding the Third Proportional to 331,384 and 518,399

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Solution

The third proportional to 331,384 and 518,399 is: 810,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,384 : 518,399 = 518,399 : x
  2. Step 2: Convert to fraction form
    331,384/518,399 = 518,399/x
  3. Step 3: Cross multiply
    331,384x = 518,399 × 518,399
  4. Step 4: Simplify right side
    331,384x = 268,737,523,201
  5. Step 5: Solve for x
    x = 268,737,523,201/331,384
  6. Step 6: Final answer
    x = 810,955.03

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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.