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Finding the Third Proportional to 203,531 and 311,341

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Solution

The third proportional to 203,531 and 311,341 is: 476,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,531 : 311,341 = 311,341 : x
  2. Step 2: Convert to fraction form
    203,531/311,341 = 311,341/x
  3. Step 3: Cross multiply
    203,531x = 311,341 × 311,341
  4. Step 4: Simplify right side
    203,531x = 96,933,218,281
  5. Step 5: Solve for x
    x = 96,933,218,281/203,531
  6. Step 6: Final answer
    x = 476,257.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.