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Finding the Third Proportional to 1,093.08 and 1,676.32

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Solution

The third proportional to 1,093.08 and 1,676.32 is: 2,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.08 : 1,676.32 = 1,676.32 : x
  2. Step 2: Convert to fraction form
    1,093.08/1,676.32 = 1,676.32/x
  3. Step 3: Cross multiply
    1,093.08x = 1,676.32 × 1,676.32
  4. Step 4: Simplify right side
    1,093.08x = 2,810,049.79
  5. Step 5: Solve for x
    x = 2,810,049.79/1,093.08
  6. Step 6: Final answer
    x = 2,570.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.