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Finding the Third Proportional to 331,289 and 441,385

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Solution

The third proportional to 331,289 and 441,385 is: 588,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,289 : 441,385 = 441,385 : x
  2. Step 2: Convert to fraction form
    331,289/441,385 = 441,385/x
  3. Step 3: Cross multiply
    331,289x = 441,385 × 441,385
  4. Step 4: Simplify right side
    331,289x = 194,820,718,225
  5. Step 5: Solve for x
    x = 194,820,718,225/331,289
  6. Step 6: Final answer
    x = 588,068.78

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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.