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Finding the Third Proportional to 151,686 and 329,847

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Solution

The third proportional to 151,686 and 329,847 is: 717,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,686 : 329,847 = 329,847 : x
  2. Step 2: Convert to fraction form
    151,686/329,847 = 329,847/x
  3. Step 3: Cross multiply
    151,686x = 329,847 × 329,847
  4. Step 4: Simplify right side
    151,686x = 108,799,043,409
  5. Step 5: Solve for x
    x = 108,799,043,409/151,686
  6. Step 6: Final answer
    x = 717,264.90

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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.