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Finding the Third Proportional to 396,738 and 872,208

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Solution

The third proportional to 396,738 and 872,208 is: 1,917,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,738 : 872,208 = 872,208 : x
  2. Step 2: Convert to fraction form
    396,738/872,208 = 872,208/x
  3. Step 3: Cross multiply
    396,738x = 872,208 × 872,208
  4. Step 4: Simplify right side
    396,738x = 760,746,795,264
  5. Step 5: Solve for x
    x = 760,746,795,264/396,738
  6. Step 6: Final answer
    x = 1,917,504.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.