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Finding the Third Proportional to 85,861 and 126,305

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Solution

The third proportional to 85,861 and 126,305 is: 185,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,861 : 126,305 = 126,305 : x
  2. Step 2: Convert to fraction form
    85,861/126,305 = 126,305/x
  3. Step 3: Cross multiply
    85,861x = 126,305 × 126,305
  4. Step 4: Simplify right side
    85,861x = 15,952,953,025
  5. Step 5: Solve for x
    x = 15,952,953,025/85,861
  6. Step 6: Final answer
    x = 185,799.76

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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.