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Finding the Third Proportional to 149,696 and 328,912

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Solution

The third proportional to 149,696 and 328,912 is: 722,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696 : 328,912 = 328,912 : x
  2. Step 2: Convert to fraction form
    149,696/328,912 = 328,912/x
  3. Step 3: Cross multiply
    149,696x = 328,912 × 328,912
  4. Step 4: Simplify right side
    149,696x = 108,183,103,744
  5. Step 5: Solve for x
    x = 108,183,103,744/149,696
  6. Step 6: Final answer
    x = 722,685.33

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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.