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Finding the Third Proportional to 18,779 and 41,079

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Solution

The third proportional to 18,779 and 41,079 is: 89,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,779 : 41,079 = 41,079 : x
  2. Step 2: Convert to fraction form
    18,779/41,079 = 41,079/x
  3. Step 3: Cross multiply
    18,779x = 41,079 × 41,079
  4. Step 4: Simplify right side
    18,779x = 1,687,484,241
  5. Step 5: Solve for x
    x = 1,687,484,241/18,779
  6. Step 6: Final answer
    x = 89,860.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.