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Finding the Third Proportional to 151,966 and 329,690

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Solution

The third proportional to 151,966 and 329,690 is: 715,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,966 : 329,690 = 329,690 : x
  2. Step 2: Convert to fraction form
    151,966/329,690 = 329,690/x
  3. Step 3: Cross multiply
    151,966x = 329,690 × 329,690
  4. Step 4: Simplify right side
    151,966x = 108,695,496,100
  5. Step 5: Solve for x
    x = 108,695,496,100/151,966
  6. Step 6: Final answer
    x = 715,261.94

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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.