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Finding the Third Proportional to 85,845 and 189,129

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Solution

The third proportional to 85,845 and 189,129 is: 416,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,845 : 189,129 = 189,129 : x
  2. Step 2: Convert to fraction form
    85,845/189,129 = 189,129/x
  3. Step 3: Cross multiply
    85,845x = 189,129 × 189,129
  4. Step 4: Simplify right side
    85,845x = 35,769,778,641
  5. Step 5: Solve for x
    x = 35,769,778,641/85,845
  6. Step 6: Final answer
    x = 416,678.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.