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Finding the Third Proportional to 127,519 and 274,549

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Solution

The third proportional to 127,519 and 274,549 is: 591,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,519 : 274,549 = 274,549 : x
  2. Step 2: Convert to fraction form
    127,519/274,549 = 274,549/x
  3. Step 3: Cross multiply
    127,519x = 274,549 × 274,549
  4. Step 4: Simplify right side
    127,519x = 75,377,153,401
  5. Step 5: Solve for x
    x = 75,377,153,401/127,519
  6. Step 6: Final answer
    x = 591,105.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.