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Finding the Third Proportional to 175,338.75 and 378,040.88

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Solution

The third proportional to 175,338.75 and 378,040.88 is: 815,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,338.75 : 378,040.88 = 378,040.88 : x
  2. Step 2: Convert to fraction form
    175,338.75/378,040.88 = 378,040.88/x
  3. Step 3: Cross multiply
    175,338.75x = 378,040.88 × 378,040.88
  4. Step 4: Simplify right side
    175,338.75x = 142,914,903,170.77
  5. Step 5: Solve for x
    x = 142,914,903,170.77/175,338.75
  6. Step 6: Final answer
    x = 815,078.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.