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Finding the Third Proportional to 50,303 and 103,846

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Solution

The third proportional to 50,303 and 103,846 is: 214,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303 : 103,846 = 103,846 : x
  2. Step 2: Convert to fraction form
    50,303/103,846 = 103,846/x
  3. Step 3: Cross multiply
    50,303x = 103,846 × 103,846
  4. Step 4: Simplify right side
    50,303x = 10,783,991,716
  5. Step 5: Solve for x
    x = 10,783,991,716/50,303
  6. Step 6: Final answer
    x = 214,380.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.