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Finding the Third Proportional to 1,821.94 and 4,008.38

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Solution

The third proportional to 1,821.94 and 4,008.38 is: 8,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.94 : 4,008.38 = 4,008.38 : x
  2. Step 2: Convert to fraction form
    1,821.94/4,008.38 = 4,008.38/x
  3. Step 3: Cross multiply
    1,821.94x = 4,008.38 × 4,008.38
  4. Step 4: Simplify right side
    1,821.94x = 16,067,070.14
  5. Step 5: Solve for x
    x = 16,067,070.14/1,821.94
  6. Step 6: Final answer
    x = 8,818.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.