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Finding the Third Proportional to 3,544.90 and 7,671.25

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Solution

The third proportional to 3,544.90 and 7,671.25 is: 16,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.90 : 7,671.25 = 7,671.25 : x
  2. Step 2: Convert to fraction form
    3,544.90/7,671.25 = 7,671.25/x
  3. Step 3: Cross multiply
    3,544.90x = 7,671.25 × 7,671.25
  4. Step 4: Simplify right side
    3,544.90x = 58,848,110.74
  5. Step 5: Solve for x
    x = 58,848,110.74/3,544.90
  6. Step 6: Final answer
    x = 16,600.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.