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Finding the Third Proportional to 1,989.75 and 3,080.06

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Solution

The third proportional to 1,989.75 and 3,080.06 is: 4,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.75 : 3,080.06 = 3,080.06 : x
  2. Step 2: Convert to fraction form
    1,989.75/3,080.06 = 3,080.06/x
  3. Step 3: Cross multiply
    1,989.75x = 3,080.06 × 3,080.06
  4. Step 4: Simplify right side
    1,989.75x = 9,486,785.00
  5. Step 5: Solve for x
    x = 9,486,785.00/1,989.75
  6. Step 6: Final answer
    x = 4,767.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.