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Finding the Third Proportional to 54,086 and 80,679

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Solution

The third proportional to 54,086 and 80,679 is: 120,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086 : 80,679 = 80,679 : x
  2. Step 2: Convert to fraction form
    54,086/80,679 = 80,679/x
  3. Step 3: Cross multiply
    54,086x = 80,679 × 80,679
  4. Step 4: Simplify right side
    54,086x = 6,509,101,041
  5. Step 5: Solve for x
    x = 6,509,101,041/54,086
  6. Step 6: Final answer
    x = 120,347.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.