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Finding the Third Proportional to 275,540 and 421,212

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Solution

The third proportional to 275,540 and 421,212 is: 643,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,540 : 421,212 = 421,212 : x
  2. Step 2: Convert to fraction form
    275,540/421,212 = 421,212/x
  3. Step 3: Cross multiply
    275,540x = 421,212 × 421,212
  4. Step 4: Simplify right side
    275,540x = 177,419,548,944
  5. Step 5: Solve for x
    x = 177,419,548,944/275,540
  6. Step 6: Final answer
    x = 643,897.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.