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Finding the Third Proportional to 151,940 and 351,761

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Solution

The third proportional to 151,940 and 351,761 is: 814,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,940 : 351,761 = 351,761 : x
  2. Step 2: Convert to fraction form
    151,940/351,761 = 351,761/x
  3. Step 3: Cross multiply
    151,940x = 351,761 × 351,761
  4. Step 4: Simplify right side
    151,940x = 123,735,801,121
  5. Step 5: Solve for x
    x = 123,735,801,121/151,940
  6. Step 6: Final answer
    x = 814,372.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.