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Finding the Third Proportional to 1,811.75 and 2,081.75

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Solution

The third proportional to 1,811.75 and 2,081.75 is: 2,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.75 : 2,081.75 = 2,081.75 : x
  2. Step 2: Convert to fraction form
    1,811.75/2,081.75 = 2,081.75/x
  3. Step 3: Cross multiply
    1,811.75x = 2,081.75 × 2,081.75
  4. Step 4: Simplify right side
    1,811.75x = 4,333,683.06
  5. Step 5: Solve for x
    x = 4,333,683.06/1,811.75
  6. Step 6: Final answer
    x = 2,391.99

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.