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Finding the Third Proportional to 275,823 and 421,761

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Solution

The third proportional to 275,823 and 421,761 is: 644,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,823 : 421,761 = 421,761 : x
  2. Step 2: Convert to fraction form
    275,823/421,761 = 421,761/x
  3. Step 3: Cross multiply
    275,823x = 421,761 × 421,761
  4. Step 4: Simplify right side
    275,823x = 177,882,341,121
  5. Step 5: Solve for x
    x = 177,882,341,121/275,823
  6. Step 6: Final answer
    x = 644,914.82

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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.