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Finding the Third Proportional to 81,756 and 126,642

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Solution

The third proportional to 81,756 and 126,642 is: 196,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756 : 126,642 = 126,642 : x
  2. Step 2: Convert to fraction form
    81,756/126,642 = 126,642/x
  3. Step 3: Cross multiply
    81,756x = 126,642 × 126,642
  4. Step 4: Simplify right side
    81,756x = 16,038,196,164
  5. Step 5: Solve for x
    x = 16,038,196,164/81,756
  6. Step 6: Final answer
    x = 196,171.49

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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.