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Finding the Third Proportional to 20,181.75 and 54,903

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Solution

The third proportional to 20,181.75 and 54,903 is: 149,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.75 : 54,903 = 54,903 : x
  2. Step 2: Convert to fraction form
    20,181.75/54,903 = 54,903/x
  3. Step 3: Cross multiply
    20,181.75x = 54,903 × 54,903
  4. Step 4: Simplify right side
    20,181.75x = 3,014,339,409
  5. Step 5: Solve for x
    x = 3,014,339,409/20,181.75
  6. Step 6: Final answer
    x = 149,359.66

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.