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Finding the Third Proportional to 190,811 and 414,427

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Solution

The third proportional to 190,811 and 414,427 is: 900,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,811 : 414,427 = 414,427 : x
  2. Step 2: Convert to fraction form
    190,811/414,427 = 414,427/x
  3. Step 3: Cross multiply
    190,811x = 414,427 × 414,427
  4. Step 4: Simplify right side
    190,811x = 171,749,738,329
  5. Step 5: Solve for x
    x = 171,749,738,329/190,811
  6. Step 6: Final answer
    x = 900,103.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.