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Finding the Third Proportional to 1,081.31 and 1,893.19

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Solution

The third proportional to 1,081.31 and 1,893.19 is: 3,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.31 : 1,893.19 = 1,893.19 : x
  2. Step 2: Convert to fraction form
    1,081.31/1,893.19 = 1,893.19/x
  3. Step 3: Cross multiply
    1,081.31x = 1,893.19 × 1,893.19
  4. Step 4: Simplify right side
    1,081.31x = 3,584,158.91
  5. Step 5: Solve for x
    x = 3,584,158.91/1,081.31
  6. Step 6: Final answer
    x = 3,314.64

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.