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Finding the Third Proportional to 275,552 and 421,509

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Solution

The third proportional to 275,552 and 421,509 is: 644,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,552 : 421,509 = 421,509 : x
  2. Step 2: Convert to fraction form
    275,552/421,509 = 421,509/x
  3. Step 3: Cross multiply
    275,552x = 421,509 × 421,509
  4. Step 4: Simplify right side
    275,552x = 177,669,837,081
  5. Step 5: Solve for x
    x = 177,669,837,081/275,552
  6. Step 6: Final answer
    x = 644,777.89

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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.