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Finding the Third Proportional to 57,406 and 80,863

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Solution

The third proportional to 57,406 and 80,863 is: 113,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406 : 80,863 = 80,863 : x
  2. Step 2: Convert to fraction form
    57,406/80,863 = 80,863/x
  3. Step 3: Cross multiply
    57,406x = 80,863 × 80,863
  4. Step 4: Simplify right side
    57,406x = 6,538,824,769
  5. Step 5: Solve for x
    x = 6,538,824,769/57,406
  6. Step 6: Final answer
    x = 113,904.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.