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Finding the Third Proportional to 275,550 and 421,232

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Solution

The third proportional to 275,550 and 421,232 is: 643,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,550 : 421,232 = 421,232 : x
  2. Step 2: Convert to fraction form
    275,550/421,232 = 421,232/x
  3. Step 3: Cross multiply
    275,550x = 421,232 × 421,232
  4. Step 4: Simplify right side
    275,550x = 177,436,397,824
  5. Step 5: Solve for x
    x = 177,436,397,824/275,550
  6. Step 6: Final answer
    x = 643,935.39

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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.