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Finding the Third Proportional to 115,126 and 271,380

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Solution

The third proportional to 115,126 and 271,380 is: 639,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,126 : 271,380 = 271,380 : x
  2. Step 2: Convert to fraction form
    115,126/271,380 = 271,380/x
  3. Step 3: Cross multiply
    115,126x = 271,380 × 271,380
  4. Step 4: Simplify right side
    115,126x = 73,647,104,400
  5. Step 5: Solve for x
    x = 73,647,104,400/115,126
  6. Step 6: Final answer
    x = 639,708.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.