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Finding the Third Proportional to 381,837.38 and 754,040.81

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Solution

The third proportional to 381,837.38 and 754,040.81 is: 1,489,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,837.38 : 754,040.81 = 754,040.81 : x
  2. Step 2: Convert to fraction form
    381,837.38/754,040.81 = 754,040.81/x
  3. Step 3: Cross multiply
    381,837.38x = 754,040.81 × 754,040.81
  4. Step 4: Simplify right side
    381,837.38x = 568,577,546,915.66
  5. Step 5: Solve for x
    x = 568,577,546,915.66/381,837.38
  6. Step 6: Final answer
    x = 1,489,056.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.