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Finding the Third Proportional to 149,690 and 329,512

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Solution

The third proportional to 149,690 and 329,512 is: 725,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,690 : 329,512 = 329,512 : x
  2. Step 2: Convert to fraction form
    149,690/329,512 = 329,512/x
  3. Step 3: Cross multiply
    149,690x = 329,512 × 329,512
  4. Step 4: Simplify right side
    149,690x = 108,578,158,144
  5. Step 5: Solve for x
    x = 108,578,158,144/149,690
  6. Step 6: Final answer
    x = 725,353.45

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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.