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Finding the Third Proportional to 50,100 and 105,788

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Solution

The third proportional to 50,100 and 105,788 is: 223,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 105,788 = 105,788 : x
  2. Step 2: Convert to fraction form
    50,100/105,788 = 105,788/x
  3. Step 3: Cross multiply
    50,100x = 105,788 × 105,788
  4. Step 4: Simplify right side
    50,100x = 11,191,100,944
  5. Step 5: Solve for x
    x = 11,191,100,944/50,100
  6. Step 6: Final answer
    x = 223,375.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.