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Finding the Third Proportional to 451.83 and 1,100.46

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Solution

The third proportional to 451.83 and 1,100.46 is: 2,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 1,100.46 = 1,100.46 : x
  2. Step 2: Convert to fraction form
    451.83/1,100.46 = 1,100.46/x
  3. Step 3: Cross multiply
    451.83x = 1,100.46 × 1,100.46
  4. Step 4: Simplify right side
    451.83x = 1,211,014.27
  5. Step 5: Solve for x
    x = 1,211,014.27/451.83
  6. Step 6: Final answer
    x = 2,680.25

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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.