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Finding the Third Proportional to 127,294 and 274,311

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Solution

The third proportional to 127,294 and 274,311 is: 591,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,294 : 274,311 = 274,311 : x
  2. Step 2: Convert to fraction form
    127,294/274,311 = 274,311/x
  3. Step 3: Cross multiply
    127,294x = 274,311 × 274,311
  4. Step 4: Simplify right side
    127,294x = 75,246,524,721
  5. Step 5: Solve for x
    x = 75,246,524,721/127,294
  6. Step 6: Final answer
    x = 591,123.89

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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.