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Finding the Third Proportional to 275,873 and 421,828

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Solution

The third proportional to 275,873 and 421,828 is: 645,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,873 : 421,828 = 421,828 : x
  2. Step 2: Convert to fraction form
    275,873/421,828 = 421,828/x
  3. Step 3: Cross multiply
    275,873x = 421,828 × 421,828
  4. Step 4: Simplify right side
    275,873x = 177,938,861,584
  5. Step 5: Solve for x
    x = 177,938,861,584/275,873
  6. Step 6: Final answer
    x = 645,002.82

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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.