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Finding the Third Proportional to 396,072 and 851,853

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Solution

The third proportional to 396,072 and 851,853 is: 1,832,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,072 : 851,853 = 851,853 : x
  2. Step 2: Convert to fraction form
    396,072/851,853 = 851,853/x
  3. Step 3: Cross multiply
    396,072x = 851,853 × 851,853
  4. Step 4: Simplify right side
    396,072x = 725,653,533,609
  5. Step 5: Solve for x
    x = 725,653,533,609/396,072
  6. Step 6: Final answer
    x = 1,832,125.30

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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.