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Finding the Third Proportional to 54,126 and 80,969

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Solution

The third proportional to 54,126 and 80,969 is: 121,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,126 : 80,969 = 80,969 : x
  2. Step 2: Convert to fraction form
    54,126/80,969 = 80,969/x
  3. Step 3: Cross multiply
    54,126x = 80,969 × 80,969
  4. Step 4: Simplify right side
    54,126x = 6,555,978,961
  5. Step 5: Solve for x
    x = 6,555,978,961/54,126
  6. Step 6: Final answer
    x = 121,124.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.