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Finding the Third Proportional to 275,794 and 421,710

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Solution

The third proportional to 275,794 and 421,710 is: 644,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,794 : 421,710 = 421,710 : x
  2. Step 2: Convert to fraction form
    275,794/421,710 = 421,710/x
  3. Step 3: Cross multiply
    275,794x = 421,710 × 421,710
  4. Step 4: Simplify right side
    275,794x = 177,839,324,100
  5. Step 5: Solve for x
    x = 177,839,324,100/275,794
  6. Step 6: Final answer
    x = 644,826.66

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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.