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Finding the Third Proportional to 57,288 and 126,192

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Solution

The third proportional to 57,288 and 126,192 is: 277,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,288 : 126,192 = 126,192 : x
  2. Step 2: Convert to fraction form
    57,288/126,192 = 126,192/x
  3. Step 3: Cross multiply
    57,288x = 126,192 × 126,192
  4. Step 4: Simplify right side
    57,288x = 15,924,420,864
  5. Step 5: Solve for x
    x = 15,924,420,864/57,288
  6. Step 6: Final answer
    x = 277,971.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.