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Finding the Third Proportional to 57,257 and 122,123

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Solution

The third proportional to 57,257 and 122,123 is: 260,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,257 : 122,123 = 122,123 : x
  2. Step 2: Convert to fraction form
    57,257/122,123 = 122,123/x
  3. Step 3: Cross multiply
    57,257x = 122,123 × 122,123
  4. Step 4: Simplify right side
    57,257x = 14,914,027,129
  5. Step 5: Solve for x
    x = 14,914,027,129/57,257
  6. Step 6: Final answer
    x = 260,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.