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Finding the Third Proportional to 133,879 and 197,116

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Solution

The third proportional to 133,879 and 197,116 is: 290,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,879 : 197,116 = 197,116 : x
  2. Step 2: Convert to fraction form
    133,879/197,116 = 197,116/x
  3. Step 3: Cross multiply
    133,879x = 197,116 × 197,116
  4. Step 4: Simplify right side
    133,879x = 38,854,717,456
  5. Step 5: Solve for x
    x = 38,854,717,456/133,879
  6. Step 6: Final answer
    x = 290,222.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.