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Finding the Third Proportional to 140,212 and 211,990

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Solution

The third proportional to 140,212 and 211,990 is: 320,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212 : 211,990 = 211,990 : x
  2. Step 2: Convert to fraction form
    140,212/211,990 = 211,990/x
  3. Step 3: Cross multiply
    140,212x = 211,990 × 211,990
  4. Step 4: Simplify right side
    140,212x = 44,939,760,100
  5. Step 5: Solve for x
    x = 44,939,760,100/140,212
  6. Step 6: Final answer
    x = 320,512.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.