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Finding the Third Proportional to 128,174 and 271,116

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Solution

The third proportional to 128,174 and 271,116 is: 573,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,174 : 271,116 = 271,116 : x
  2. Step 2: Convert to fraction form
    128,174/271,116 = 271,116/x
  3. Step 3: Cross multiply
    128,174x = 271,116 × 271,116
  4. Step 4: Simplify right side
    128,174x = 73,503,885,456
  5. Step 5: Solve for x
    x = 73,503,885,456/128,174
  6. Step 6: Final answer
    x = 573,469.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.