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Finding the Third Proportional to 81,225 and 126,254

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Solution

The third proportional to 81,225 and 126,254 is: 196,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,225 : 126,254 = 126,254 : x
  2. Step 2: Convert to fraction form
    81,225/126,254 = 126,254/x
  3. Step 3: Cross multiply
    81,225x = 126,254 × 126,254
  4. Step 4: Simplify right side
    81,225x = 15,940,072,516
  5. Step 5: Solve for x
    x = 15,940,072,516/81,225
  6. Step 6: Final answer
    x = 196,245.89

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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.