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Finding the Third Proportional to 1,742.77 and 3,425.73

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Solution

The third proportional to 1,742.77 and 3,425.73 is: 6,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.77 : 3,425.73 = 3,425.73 : x
  2. Step 2: Convert to fraction form
    1,742.77/3,425.73 = 3,425.73/x
  3. Step 3: Cross multiply
    1,742.77x = 3,425.73 × 3,425.73
  4. Step 4: Simplify right side
    1,742.77x = 11,735,629.24
  5. Step 5: Solve for x
    x = 11,735,629.24/1,742.77
  6. Step 6: Final answer
    x = 6,733.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.