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Finding the Third Proportional to 2,219.91 and 4,328.44

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Solution

The third proportional to 2,219.91 and 4,328.44 is: 8,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.91 : 4,328.44 = 4,328.44 : x
  2. Step 2: Convert to fraction form
    2,219.91/4,328.44 = 4,328.44/x
  3. Step 3: Cross multiply
    2,219.91x = 4,328.44 × 4,328.44
  4. Step 4: Simplify right side
    2,219.91x = 18,735,371.19
  5. Step 5: Solve for x
    x = 18,735,371.19/2,219.91
  6. Step 6: Final answer
    x = 8,439.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.