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Finding the Third Proportional to 172,229 and 271,549

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Solution

The third proportional to 172,229 and 271,549 is: 428,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,229 : 271,549 = 271,549 : x
  2. Step 2: Convert to fraction form
    172,229/271,549 = 271,549/x
  3. Step 3: Cross multiply
    172,229x = 271,549 × 271,549
  4. Step 4: Simplify right side
    172,229x = 73,738,859,401
  5. Step 5: Solve for x
    x = 73,738,859,401/172,229
  6. Step 6: Final answer
    x = 428,144.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.