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Finding the Third Proportional to 57,660 and 122,154

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Solution

The third proportional to 57,660 and 122,154 is: 258,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 122,154 = 122,154 : x
  2. Step 2: Convert to fraction form
    57,660/122,154 = 122,154/x
  3. Step 3: Cross multiply
    57,660x = 122,154 × 122,154
  4. Step 4: Simplify right side
    57,660x = 14,921,599,716
  5. Step 5: Solve for x
    x = 14,921,599,716/57,660
  6. Step 6: Final answer
    x = 258,785.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.