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Finding the Third Proportional to 396,102 and 824,842

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Solution

The third proportional to 396,102 and 824,842 is: 1,717,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,102 : 824,842 = 824,842 : x
  2. Step 2: Convert to fraction form
    396,102/824,842 = 824,842/x
  3. Step 3: Cross multiply
    396,102x = 824,842 × 824,842
  4. Step 4: Simplify right side
    396,102x = 680,364,324,964
  5. Step 5: Solve for x
    x = 680,364,324,964/396,102
  6. Step 6: Final answer
    x = 1,717,649.30

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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.