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Finding the Third Proportional to 271,553 and 379,828

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Solution

The third proportional to 271,553 and 379,828 is: 531,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,553 : 379,828 = 379,828 : x
  2. Step 2: Convert to fraction form
    271,553/379,828 = 379,828/x
  3. Step 3: Cross multiply
    271,553x = 379,828 × 379,828
  4. Step 4: Simplify right side
    271,553x = 144,269,309,584
  5. Step 5: Solve for x
    x = 144,269,309,584/271,553
  6. Step 6: Final answer
    x = 531,274.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.