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Finding the Third Proportional to 3,291.15 and 7,168.92

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Solution

The third proportional to 3,291.15 and 7,168.92 is: 15,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.15 : 7,168.92 = 7,168.92 : x
  2. Step 2: Convert to fraction form
    3,291.15/7,168.92 = 7,168.92/x
  3. Step 3: Cross multiply
    3,291.15x = 7,168.92 × 7,168.92
  4. Step 4: Simplify right side
    3,291.15x = 51,393,440.85
  5. Step 5: Solve for x
    x = 51,393,440.85/3,291.15
  6. Step 6: Final answer
    x = 15,615.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.