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Finding the Third Proportional to 3,322.69 and 3,788.44

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Solution

The third proportional to 3,322.69 and 3,788.44 is: 4,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.69 : 3,788.44 = 3,788.44 : x
  2. Step 2: Convert to fraction form
    3,322.69/3,788.44 = 3,788.44/x
  3. Step 3: Cross multiply
    3,322.69x = 3,788.44 × 3,788.44
  4. Step 4: Simplify right side
    3,322.69x = 14,352,258.69
  5. Step 5: Solve for x
    x = 14,352,258.69/3,322.69
  6. Step 6: Final answer
    x = 4,319.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.