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Finding the Third Proportional to 21,458.25 and 33,198.19

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Solution

The third proportional to 21,458.25 and 33,198.19 is: 51,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.25 : 33,198.19 = 33,198.19 : x
  2. Step 2: Convert to fraction form
    21,458.25/33,198.19 = 33,198.19/x
  3. Step 3: Cross multiply
    21,458.25x = 33,198.19 × 33,198.19
  4. Step 4: Simplify right side
    21,458.25x = 1,102,119,653.29
  5. Step 5: Solve for x
    x = 1,102,119,653.29/21,458.25
  6. Step 6: Final answer
    x = 51,361.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.