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Finding the Third Proportional to 151,982 and 329,722

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Solution

The third proportional to 151,982 and 329,722 is: 715,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,982 : 329,722 = 329,722 : x
  2. Step 2: Convert to fraction form
    151,982/329,722 = 329,722/x
  3. Step 3: Cross multiply
    151,982x = 329,722 × 329,722
  4. Step 4: Simplify right side
    151,982x = 108,716,597,284
  5. Step 5: Solve for x
    x = 108,716,597,284/151,982
  6. Step 6: Final answer
    x = 715,325.48

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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.