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Finding the Third Proportional to 51,779 and 76,939

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Solution

The third proportional to 51,779 and 76,939 is: 114,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779 : 76,939 = 76,939 : x
  2. Step 2: Convert to fraction form
    51,779/76,939 = 76,939/x
  3. Step 3: Cross multiply
    51,779x = 76,939 × 76,939
  4. Step 4: Simplify right side
    51,779x = 5,919,609,721
  5. Step 5: Solve for x
    x = 5,919,609,721/51,779
  6. Step 6: Final answer
    x = 114,324.53

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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.