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Finding the Third Proportional to 9,821.25 and 21,198.38

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Solution

The third proportional to 9,821.25 and 21,198.38 is: 45,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.25 : 21,198.38 = 21,198.38 : x
  2. Step 2: Convert to fraction form
    9,821.25/21,198.38 = 21,198.38/x
  3. Step 3: Cross multiply
    9,821.25x = 21,198.38 × 21,198.38
  4. Step 4: Simplify right side
    9,821.25x = 449,371,102.64
  5. Step 5: Solve for x
    x = 449,371,102.64/9,821.25
  6. Step 6: Final answer
    x = 45,754.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.