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Finding the Third Proportional to 396,091 and 824,821

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Solution

The third proportional to 396,091 and 824,821 is: 1,717,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,091 : 824,821 = 824,821 : x
  2. Step 2: Convert to fraction form
    396,091/824,821 = 824,821/x
  3. Step 3: Cross multiply
    396,091x = 824,821 × 824,821
  4. Step 4: Simplify right side
    396,091x = 680,329,682,041
  5. Step 5: Solve for x
    x = 680,329,682,041/396,091
  6. Step 6: Final answer
    x = 1,717,609.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.