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Finding the Third Proportional to 144,212 and 197,847

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Solution

The third proportional to 144,212 and 197,847 is: 271,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,212 : 197,847 = 197,847 : x
  2. Step 2: Convert to fraction form
    144,212/197,847 = 197,847/x
  3. Step 3: Cross multiply
    144,212x = 197,847 × 197,847
  4. Step 4: Simplify right side
    144,212x = 39,143,435,409
  5. Step 5: Solve for x
    x = 39,143,435,409/144,212
  6. Step 6: Final answer
    x = 271,429.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.