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Finding the Third Proportional to 101,610 and 137,067

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Solution

The third proportional to 101,610 and 137,067 is: 184,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,610 : 137,067 = 137,067 : x
  2. Step 2: Convert to fraction form
    101,610/137,067 = 137,067/x
  3. Step 3: Cross multiply
    101,610x = 137,067 × 137,067
  4. Step 4: Simplify right side
    101,610x = 18,787,362,489
  5. Step 5: Solve for x
    x = 18,787,362,489/101,610
  6. Step 6: Final answer
    x = 184,896.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.