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Finding the Third Proportional to 396,213 and 825,258

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Solution

The third proportional to 396,213 and 825,258 is: 1,718,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,213 : 825,258 = 825,258 : x
  2. Step 2: Convert to fraction form
    396,213/825,258 = 825,258/x
  3. Step 3: Cross multiply
    396,213x = 825,258 × 825,258
  4. Step 4: Simplify right side
    396,213x = 681,050,766,564
  5. Step 5: Solve for x
    x = 681,050,766,564/396,213
  6. Step 6: Final answer
    x = 1,718,900.61

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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.