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Finding the Third Proportional to 20,162 and 54,779

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Solution

The third proportional to 20,162 and 54,779 is: 148,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162 : 54,779 = 54,779 : x
  2. Step 2: Convert to fraction form
    20,162/54,779 = 54,779/x
  3. Step 3: Cross multiply
    20,162x = 54,779 × 54,779
  4. Step 4: Simplify right side
    20,162x = 3,000,738,841
  5. Step 5: Solve for x
    x = 3,000,738,841/20,162
  6. Step 6: Final answer
    x = 148,831.41

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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.