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Finding the Third Proportional to 86,116 and 189,206

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Solution

The third proportional to 86,116 and 189,206 is: 415,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116 : 189,206 = 189,206 : x
  2. Step 2: Convert to fraction form
    86,116/189,206 = 189,206/x
  3. Step 3: Cross multiply
    86,116x = 189,206 × 189,206
  4. Step 4: Simplify right side
    86,116x = 35,798,910,436
  5. Step 5: Solve for x
    x = 35,798,910,436/86,116
  6. Step 6: Final answer
    x = 415,705.68

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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.