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Finding the Third Proportional to 838.83 and 1,845.42

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Solution

The third proportional to 838.83 and 1,845.42 is: 4,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.83 : 1,845.42 = 1,845.42 : x
  2. Step 2: Convert to fraction form
    838.83/1,845.42 = 1,845.42/x
  3. Step 3: Cross multiply
    838.83x = 1,845.42 × 1,845.42
  4. Step 4: Simplify right side
    838.83x = 3,405,581.90
  5. Step 5: Solve for x
    x = 3,405,581.90/838.83
  6. Step 6: Final answer
    x = 4,059.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.