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Finding the Third Proportional to 151,505 and 329,218

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Solution

The third proportional to 151,505 and 329,218 is: 715,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,505 : 329,218 = 329,218 : x
  2. Step 2: Convert to fraction form
    151,505/329,218 = 329,218/x
  3. Step 3: Cross multiply
    151,505x = 329,218 × 329,218
  4. Step 4: Simplify right side
    151,505x = 108,384,491,524
  5. Step 5: Solve for x
    x = 108,384,491,524/151,505
  6. Step 6: Final answer
    x = 715,385.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.