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Finding the Third Proportional to 50,162 and 118,841

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Solution

The third proportional to 50,162 and 118,841 is: 281,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,162 : 118,841 = 118,841 : x
  2. Step 2: Convert to fraction form
    50,162/118,841 = 118,841/x
  3. Step 3: Cross multiply
    50,162x = 118,841 × 118,841
  4. Step 4: Simplify right side
    50,162x = 14,123,183,281
  5. Step 5: Solve for x
    x = 14,123,183,281/50,162
  6. Step 6: Final answer
    x = 281,551.44

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.