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Finding the Third Proportional to 1,776.94 and 3,872.81

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Solution

The third proportional to 1,776.94 and 3,872.81 is: 8,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.94 : 3,872.81 = 3,872.81 : x
  2. Step 2: Convert to fraction form
    1,776.94/3,872.81 = 3,872.81/x
  3. Step 3: Cross multiply
    1,776.94x = 3,872.81 × 3,872.81
  4. Step 4: Simplify right side
    1,776.94x = 14,998,676.66
  5. Step 5: Solve for x
    x = 14,998,676.66/1,776.94
  6. Step 6: Final answer
    x = 8,440.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.