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Finding the Third Proportional to 6,086 and 13,080.50

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Solution

The third proportional to 6,086 and 13,080.50 is: 28,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 13,080.50 = 13,080.50 : x
  2. Step 2: Convert to fraction form
    6,086/13,080.50 = 13,080.50/x
  3. Step 3: Cross multiply
    6,086x = 13,080.50 × 13,080.50
  4. Step 4: Simplify right side
    6,086x = 171,099,480.25
  5. Step 5: Solve for x
    x = 171,099,480.25/6,086
  6. Step 6: Final answer
    x = 28,113.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.