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Finding the Third Proportional to 141,905 and 218,183

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Solution

The third proportional to 141,905 and 218,183 is: 335,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905 : 218,183 = 218,183 : x
  2. Step 2: Convert to fraction form
    141,905/218,183 = 218,183/x
  3. Step 3: Cross multiply
    141,905x = 218,183 × 218,183
  4. Step 4: Simplify right side
    141,905x = 47,603,821,489
  5. Step 5: Solve for x
    x = 47,603,821,489/141,905
  6. Step 6: Final answer
    x = 335,462.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.