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Finding the Third Proportional to 126,972 and 271,435

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Solution

The third proportional to 126,972 and 271,435 is: 580,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,972 : 271,435 = 271,435 : x
  2. Step 2: Convert to fraction form
    126,972/271,435 = 271,435/x
  3. Step 3: Cross multiply
    126,972x = 271,435 × 271,435
  4. Step 4: Simplify right side
    126,972x = 73,676,959,225
  5. Step 5: Solve for x
    x = 73,676,959,225/126,972
  6. Step 6: Final answer
    x = 580,261.47

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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.