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Finding the Third Proportional to 396,088 and 824,816

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Solution

The third proportional to 396,088 and 824,816 is: 1,717,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,088 : 824,816 = 824,816 : x
  2. Step 2: Convert to fraction form
    396,088/824,816 = 824,816/x
  3. Step 3: Cross multiply
    396,088x = 824,816 × 824,816
  4. Step 4: Simplify right side
    396,088x = 680,321,433,856
  5. Step 5: Solve for x
    x = 680,321,433,856/396,088
  6. Step 6: Final answer
    x = 1,717,601.73

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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.