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Finding the Third Proportional to 86,052 and 126,256

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Solution

The third proportional to 86,052 and 126,256 is: 185,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,052 : 126,256 = 126,256 : x
  2. Step 2: Convert to fraction form
    86,052/126,256 = 126,256/x
  3. Step 3: Cross multiply
    86,052x = 126,256 × 126,256
  4. Step 4: Simplify right side
    86,052x = 15,940,577,536
  5. Step 5: Solve for x
    x = 15,940,577,536/86,052
  6. Step 6: Final answer
    x = 185,243.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.