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Finding the Third Proportional to 396,045.75 and 851,791.50

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Solution

The third proportional to 396,045.75 and 851,791.50 is: 1,831,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,045.75 : 851,791.50 = 851,791.50 : x
  2. Step 2: Convert to fraction form
    396,045.75/851,791.50 = 851,791.50/x
  3. Step 3: Cross multiply
    396,045.75x = 851,791.50 × 851,791.50
  4. Step 4: Simplify right side
    396,045.75x = 725,548,759,472.25
  5. Step 5: Solve for x
    x = 725,548,759,472.25/396,045.75
  6. Step 6: Final answer
    x = 1,831,982.19

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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.