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Finding the Third Proportional to 57,042 and 122,080

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Solution

The third proportional to 57,042 and 122,080 is: 261,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042 : 122,080 = 122,080 : x
  2. Step 2: Convert to fraction form
    57,042/122,080 = 122,080/x
  3. Step 3: Cross multiply
    57,042x = 122,080 × 122,080
  4. Step 4: Simplify right side
    57,042x = 14,903,526,400
  5. Step 5: Solve for x
    x = 14,903,526,400/57,042
  6. Step 6: Final answer
    x = 261,272.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.