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Finding the Third Proportional to 57,107 and 122,719

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Solution

The third proportional to 57,107 and 122,719 is: 263,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107 : 122,719 = 122,719 : x
  2. Step 2: Convert to fraction form
    57,107/122,719 = 122,719/x
  3. Step 3: Cross multiply
    57,107x = 122,719 × 122,719
  4. Step 4: Simplify right side
    57,107x = 15,059,952,961
  5. Step 5: Solve for x
    x = 15,059,952,961/57,107
  6. Step 6: Final answer
    x = 263,714.66

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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.