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Finding the Third Proportional to 122,173 and 178,891

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Solution

The third proportional to 122,173 and 178,891 is: 261,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,173 : 178,891 = 178,891 : x
  2. Step 2: Convert to fraction form
    122,173/178,891 = 178,891/x
  3. Step 3: Cross multiply
    122,173x = 178,891 × 178,891
  4. Step 4: Simplify right side
    122,173x = 32,001,989,881
  5. Step 5: Solve for x
    x = 32,001,989,881/122,173
  6. Step 6: Final answer
    x = 261,939.95

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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.