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Finding the Third Proportional to 215,811 and 474,450

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Solution

The third proportional to 215,811 and 474,450 is: 1,043,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,811 : 474,450 = 474,450 : x
  2. Step 2: Convert to fraction form
    215,811/474,450 = 474,450/x
  3. Step 3: Cross multiply
    215,811x = 474,450 × 474,450
  4. Step 4: Simplify right side
    215,811x = 225,102,802,500
  5. Step 5: Solve for x
    x = 225,102,802,500/215,811
  6. Step 6: Final answer
    x = 1,043,055.28

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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.