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Finding the Third Proportional to 126,997 and 271,489

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Solution

The third proportional to 126,997 and 271,489 is: 580,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,997 : 271,489 = 271,489 : x
  2. Step 2: Convert to fraction form
    126,997/271,489 = 271,489/x
  3. Step 3: Cross multiply
    126,997x = 271,489 × 271,489
  4. Step 4: Simplify right side
    126,997x = 73,706,277,121
  5. Step 5: Solve for x
    x = 73,706,277,121/126,997
  6. Step 6: Final answer
    x = 580,378.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.