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Finding the Third Proportional to 81,876 and 126,433

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Solution

The third proportional to 81,876 and 126,433 is: 195,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876 : 126,433 = 126,433 : x
  2. Step 2: Convert to fraction form
    81,876/126,433 = 126,433/x
  3. Step 3: Cross multiply
    81,876x = 126,433 × 126,433
  4. Step 4: Simplify right side
    81,876x = 15,985,303,489
  5. Step 5: Solve for x
    x = 15,985,303,489/81,876
  6. Step 6: Final answer
    x = 195,237.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.