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Finding the Third Proportional to 150,170 and 329,872

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Solution

The third proportional to 150,170 and 329,872 is: 724,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,170 : 329,872 = 329,872 : x
  2. Step 2: Convert to fraction form
    150,170/329,872 = 329,872/x
  3. Step 3: Cross multiply
    150,170x = 329,872 × 329,872
  4. Step 4: Simplify right side
    150,170x = 108,815,536,384
  5. Step 5: Solve for x
    x = 108,815,536,384/150,170
  6. Step 6: Final answer
    x = 724,615.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.