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Finding the Third Proportional to 3,091.50 and 6,766.88

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Solution

The third proportional to 3,091.50 and 6,766.88 is: 14,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.50 : 6,766.88 = 6,766.88 : x
  2. Step 2: Convert to fraction form
    3,091.50/6,766.88 = 6,766.88/x
  3. Step 3: Cross multiply
    3,091.50x = 6,766.88 × 6,766.88
  4. Step 4: Simplify right side
    3,091.50x = 45,790,597.27
  5. Step 5: Solve for x
    x = 45,790,597.27/3,091.50
  6. Step 6: Final answer
    x = 14,811.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.