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Finding the Third Proportional to 122,187 and 178,906

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Solution

The third proportional to 122,187 and 178,906 is: 261,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,187 : 178,906 = 178,906 : x
  2. Step 2: Convert to fraction form
    122,187/178,906 = 178,906/x
  3. Step 3: Cross multiply
    122,187x = 178,906 × 178,906
  4. Step 4: Simplify right side
    122,187x = 32,007,356,836
  5. Step 5: Solve for x
    x = 32,007,356,836/122,187
  6. Step 6: Final answer
    x = 261,953.86

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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.