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Finding the Third Proportional to 122,148 and 178,845

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Solution

The third proportional to 122,148 and 178,845 is: 261,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,148 : 178,845 = 178,845 : x
  2. Step 2: Convert to fraction form
    122,148/178,845 = 178,845/x
  3. Step 3: Cross multiply
    122,148x = 178,845 × 178,845
  4. Step 4: Simplify right side
    122,148x = 31,985,534,025
  5. Step 5: Solve for x
    x = 31,985,534,025/122,148
  6. Step 6: Final answer
    x = 261,858.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.