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Finding the Third Proportional to 1,748.46 and 3,778.84

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Solution

The third proportional to 1,748.46 and 3,778.84 is: 8,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.46 : 3,778.84 = 3,778.84 : x
  2. Step 2: Convert to fraction form
    1,748.46/3,778.84 = 3,778.84/x
  3. Step 3: Cross multiply
    1,748.46x = 3,778.84 × 3,778.84
  4. Step 4: Simplify right side
    1,748.46x = 14,279,630.56
  5. Step 5: Solve for x
    x = 14,279,630.56/1,748.46
  6. Step 6: Final answer
    x = 8,166.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.