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Finding the Third Proportional to 2,106 and 3,796.88

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Solution

The third proportional to 2,106 and 3,796.88 is: 6,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 3,796.88 = 3,796.88 : x
  2. Step 2: Convert to fraction form
    2,106/3,796.88 = 3,796.88/x
  3. Step 3: Cross multiply
    2,106x = 3,796.88 × 3,796.88
  4. Step 4: Simplify right side
    2,106x = 14,416,259.77
  5. Step 5: Solve for x
    x = 14,416,259.77/2,106
  6. Step 6: Final answer
    x = 6,845.33

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.