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Finding the Third Proportional to 57,678 and 127,881

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Solution

The third proportional to 57,678 and 127,881 is: 283,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678 : 127,881 = 127,881 : x
  2. Step 2: Convert to fraction form
    57,678/127,881 = 127,881/x
  3. Step 3: Cross multiply
    57,678x = 127,881 × 127,881
  4. Step 4: Simplify right side
    57,678x = 16,353,550,161
  5. Step 5: Solve for x
    x = 16,353,550,161/57,678
  6. Step 6: Final answer
    x = 283,531.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.