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Finding the Third Proportional to 1,855.83 and 4,054.22

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Solution

The third proportional to 1,855.83 and 4,054.22 is: 8,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.83 : 4,054.22 = 4,054.22 : x
  2. Step 2: Convert to fraction form
    1,855.83/4,054.22 = 4,054.22/x
  3. Step 3: Cross multiply
    1,855.83x = 4,054.22 × 4,054.22
  4. Step 4: Simplify right side
    1,855.83x = 16,436,689.67
  5. Step 5: Solve for x
    x = 16,436,689.67/1,855.83
  6. Step 6: Final answer
    x = 8,856.80

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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.