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Finding the Third Proportional to 13,821.19 and 20,745.84

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Solution

The third proportional to 13,821.19 and 20,745.84 is: 31,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.19 : 20,745.84 = 20,745.84 : x
  2. Step 2: Convert to fraction form
    13,821.19/20,745.84 = 20,745.84/x
  3. Step 3: Cross multiply
    13,821.19x = 20,745.84 × 20,745.84
  4. Step 4: Simplify right side
    13,821.19x = 430,390,032.90
  5. Step 5: Solve for x
    x = 430,390,032.90/13,821.19
  6. Step 6: Final answer
    x = 31,139.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.