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Finding the Third Proportional to 1,746.56 and 3,842.44

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Solution

The third proportional to 1,746.56 and 3,842.44 is: 8,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.56 : 3,842.44 = 3,842.44 : x
  2. Step 2: Convert to fraction form
    1,746.56/3,842.44 = 3,842.44/x
  3. Step 3: Cross multiply
    1,746.56x = 3,842.44 × 3,842.44
  4. Step 4: Simplify right side
    1,746.56x = 14,764,325.94
  5. Step 5: Solve for x
    x = 14,764,325.94/1,746.56
  6. Step 6: Final answer
    x = 8,453.36

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Why These Related Problems?

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