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Finding the Third Proportional to 1,811.11 and 3,895.59

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Solution

The third proportional to 1,811.11 and 3,895.59 is: 8,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.11 : 3,895.59 = 3,895.59 : x
  2. Step 2: Convert to fraction form
    1,811.11/3,895.59 = 3,895.59/x
  3. Step 3: Cross multiply
    1,811.11x = 3,895.59 × 3,895.59
  4. Step 4: Simplify right side
    1,811.11x = 15,175,650.67
  5. Step 5: Solve for x
    x = 15,175,650.67/1,811.11
  6. Step 6: Final answer
    x = 8,379.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.