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Finding the Third Proportional to 73,109 and 107,129

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Solution

The third proportional to 73,109 and 107,129 is: 156,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109 : 107,129 = 107,129 : x
  2. Step 2: Convert to fraction form
    73,109/107,129 = 107,129/x
  3. Step 3: Cross multiply
    73,109x = 107,129 × 107,129
  4. Step 4: Simplify right side
    73,109x = 11,476,622,641
  5. Step 5: Solve for x
    x = 11,476,622,641/73,109
  6. Step 6: Final answer
    x = 156,979.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.