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Finding the Third Proportional to 57,137 and 122,779

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Solution

The third proportional to 57,137 and 122,779 is: 263,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137 : 122,779 = 122,779 : x
  2. Step 2: Convert to fraction form
    57,137/122,779 = 122,779/x
  3. Step 3: Cross multiply
    57,137x = 122,779 × 122,779
  4. Step 4: Simplify right side
    57,137x = 15,074,682,841
  5. Step 5: Solve for x
    x = 15,074,682,841/57,137
  6. Step 6: Final answer
    x = 263,833.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.