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Finding the Third Proportional to 81,827 and 126,997

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Solution

The third proportional to 81,827 and 126,997 is: 197,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,827 : 126,997 = 126,997 : x
  2. Step 2: Convert to fraction form
    81,827/126,997 = 126,997/x
  3. Step 3: Cross multiply
    81,827x = 126,997 × 126,997
  4. Step 4: Simplify right side
    81,827x = 16,128,238,009
  5. Step 5: Solve for x
    x = 16,128,238,009/81,827
  6. Step 6: Final answer
    x = 197,101.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.