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Finding the Third Proportional to 380,591.25 and 818,591.25

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Solution

The third proportional to 380,591.25 and 818,591.25 is: 1,760,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,591.25 : 818,591.25 = 818,591.25 : x
  2. Step 2: Convert to fraction form
    380,591.25/818,591.25 = 818,591.25/x
  3. Step 3: Cross multiply
    380,591.25x = 818,591.25 × 818,591.25
  4. Step 4: Simplify right side
    380,591.25x = 670,091,634,576.56
  5. Step 5: Solve for x
    x = 670,091,634,576.56/380,591.25
  6. Step 6: Final answer
    x = 1,760,659.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.