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Finding the Third Proportional to 3,498.19 and 4,450.78

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Solution

The third proportional to 3,498.19 and 4,450.78 is: 5,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.19 : 4,450.78 = 4,450.78 : x
  2. Step 2: Convert to fraction form
    3,498.19/4,450.78 = 4,450.78/x
  3. Step 3: Cross multiply
    3,498.19x = 4,450.78 × 4,450.78
  4. Step 4: Simplify right side
    3,498.19x = 19,809,453.74
  5. Step 5: Solve for x
    x = 19,809,453.74/3,498.19
  6. Step 6: Final answer
    x = 5,662.78

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.