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Finding the Third Proportional to 331,328 and 441,438

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Solution

The third proportional to 331,328 and 441,438 is: 588,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,328 : 441,438 = 441,438 : x
  2. Step 2: Convert to fraction form
    331,328/441,438 = 441,438/x
  3. Step 3: Cross multiply
    331,328x = 441,438 × 441,438
  4. Step 4: Simplify right side
    331,328x = 194,867,507,844
  5. Step 5: Solve for x
    x = 194,867,507,844/331,328
  6. Step 6: Final answer
    x = 588,140.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.