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Finding the Third Proportional to 122,922 and 177,112

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Solution

The third proportional to 122,922 and 177,112 is: 255,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,922 : 177,112 = 177,112 : x
  2. Step 2: Convert to fraction form
    122,922/177,112 = 177,112/x
  3. Step 3: Cross multiply
    122,922x = 177,112 × 177,112
  4. Step 4: Simplify right side
    122,922x = 31,368,660,544
  5. Step 5: Solve for x
    x = 31,368,660,544/122,922
  6. Step 6: Final answer
    x = 255,191.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.