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Finding the Third Proportional to 275,844 and 421,782

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Solution

The third proportional to 275,844 and 421,782 is: 644,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,844 : 421,782 = 421,782 : x
  2. Step 2: Convert to fraction form
    275,844/421,782 = 421,782/x
  3. Step 3: Cross multiply
    275,844x = 421,782 × 421,782
  4. Step 4: Simplify right side
    275,844x = 177,900,055,524
  5. Step 5: Solve for x
    x = 177,900,055,524/275,844
  6. Step 6: Final answer
    x = 644,929.94

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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.