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Finding the Third Proportional to 140,121 and 211,635

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Solution

The third proportional to 140,121 and 211,635 is: 319,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121 : 211,635 = 211,635 : x
  2. Step 2: Convert to fraction form
    140,121/211,635 = 211,635/x
  3. Step 3: Cross multiply
    140,121x = 211,635 × 211,635
  4. Step 4: Simplify right side
    140,121x = 44,789,373,225
  5. Step 5: Solve for x
    x = 44,789,373,225/140,121
  6. Step 6: Final answer
    x = 319,647.83

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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.