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Finding the Third Proportional to 91,728 and 189,166

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Solution

The third proportional to 91,728 and 189,166 is: 390,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 189,166 = 189,166 : x
  2. Step 2: Convert to fraction form
    91,728/189,166 = 189,166/x
  3. Step 3: Cross multiply
    91,728x = 189,166 × 189,166
  4. Step 4: Simplify right side
    91,728x = 35,783,775,556
  5. Step 5: Solve for x
    x = 35,783,775,556/91,728
  6. Step 6: Final answer
    x = 390,107.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.