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Finding the Third Proportional to 1,211.06 and 1,944.56

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Solution

The third proportional to 1,211.06 and 1,944.56 is: 3,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.06 : 1,944.56 = 1,944.56 : x
  2. Step 2: Convert to fraction form
    1,211.06/1,944.56 = 1,944.56/x
  3. Step 3: Cross multiply
    1,211.06x = 1,944.56 × 1,944.56
  4. Step 4: Simplify right side
    1,211.06x = 3,781,323.32
  5. Step 5: Solve for x
    x = 3,781,323.32/1,211.06
  6. Step 6: Final answer
    x = 3,122.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.