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Finding the Third Proportional to 54,086 and 84,980

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Solution

The third proportional to 54,086 and 84,980 is: 133,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086 : 84,980 = 84,980 : x
  2. Step 2: Convert to fraction form
    54,086/84,980 = 84,980/x
  3. Step 3: Cross multiply
    54,086x = 84,980 × 84,980
  4. Step 4: Simplify right side
    54,086x = 7,221,600,400
  5. Step 5: Solve for x
    x = 7,221,600,400/54,086
  6. Step 6: Final answer
    x = 133,520.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.