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Finding the Third Proportional to 396,071 and 851,851

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Solution

The third proportional to 396,071 and 851,851 is: 1,832,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,071 : 851,851 = 851,851 : x
  2. Step 2: Convert to fraction form
    396,071/851,851 = 851,851/x
  3. Step 3: Cross multiply
    396,071x = 851,851 × 851,851
  4. Step 4: Simplify right side
    396,071x = 725,650,126,201
  5. Step 5: Solve for x
    x = 725,650,126,201/396,071
  6. Step 6: Final answer
    x = 1,832,121.33

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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.