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Finding the Third Proportional to 57,108 and 122,721

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Solution

The third proportional to 57,108 and 122,721 is: 263,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,108 : 122,721 = 122,721 : x
  2. Step 2: Convert to fraction form
    57,108/122,721 = 122,721/x
  3. Step 3: Cross multiply
    57,108x = 122,721 × 122,721
  4. Step 4: Simplify right side
    57,108x = 15,060,443,841
  5. Step 5: Solve for x
    x = 15,060,443,841/57,108
  6. Step 6: Final answer
    x = 263,718.64

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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.