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Finding the Third Proportional to 1,821.23 and 3,638.67

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Solution

The third proportional to 1,821.23 and 3,638.67 is: 7,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.23 : 3,638.67 = 3,638.67 : x
  2. Step 2: Convert to fraction form
    1,821.23/3,638.67 = 3,638.67/x
  3. Step 3: Cross multiply
    1,821.23x = 3,638.67 × 3,638.67
  4. Step 4: Simplify right side
    1,821.23x = 13,239,933.01
  5. Step 5: Solve for x
    x = 13,239,933.01/1,821.23
  6. Step 6: Final answer
    x = 7,269.76

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.