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Finding the Third Proportional to 85,872 and 126,322

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Solution

The third proportional to 85,872 and 126,322 is: 185,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 126,322 = 126,322 : x
  2. Step 2: Convert to fraction form
    85,872/126,322 = 126,322/x
  3. Step 3: Cross multiply
    85,872x = 126,322 × 126,322
  4. Step 4: Simplify right side
    85,872x = 15,957,247,684
  5. Step 5: Solve for x
    x = 15,957,247,684/85,872
  6. Step 6: Final answer
    x = 185,825.97

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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.