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Finding the Third Proportional to 53,811 and 106,242

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Solution

The third proportional to 53,811 and 106,242 is: 209,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,811 : 106,242 = 106,242 : x
  2. Step 2: Convert to fraction form
    53,811/106,242 = 106,242/x
  3. Step 3: Cross multiply
    53,811x = 106,242 × 106,242
  4. Step 4: Simplify right side
    53,811x = 11,287,362,564
  5. Step 5: Solve for x
    x = 11,287,362,564/53,811
  6. Step 6: Final answer
    x = 209,759.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.