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Finding the Third Proportional to 2,093.77 and 3,132.84

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Solution

The third proportional to 2,093.77 and 3,132.84 is: 4,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.77 : 3,132.84 = 3,132.84 : x
  2. Step 2: Convert to fraction form
    2,093.77/3,132.84 = 3,132.84/x
  3. Step 3: Cross multiply
    2,093.77x = 3,132.84 × 3,132.84
  4. Step 4: Simplify right side
    2,093.77x = 9,814,709.96
  5. Step 5: Solve for x
    x = 9,814,709.96/2,093.77
  6. Step 6: Final answer
    x = 4,687.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.