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Finding the Third Proportional to 221.20 and 474.84

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Solution

The third proportional to 221.20 and 474.84 is: 1,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.20 : 474.84 = 474.84 : x
  2. Step 2: Convert to fraction form
    221.20/474.84 = 474.84/x
  3. Step 3: Cross multiply
    221.20x = 474.84 × 474.84
  4. Step 4: Simplify right side
    221.20x = 225,476.59
  5. Step 5: Solve for x
    x = 225,476.59/221.20
  6. Step 6: Final answer
    x = 1,019.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.