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Finding the Third Proportional to 9,198.14 and 19,868.20

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Solution

The third proportional to 9,198.14 and 19,868.20 is: 42,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.14 : 19,868.20 = 19,868.20 : x
  2. Step 2: Convert to fraction form
    9,198.14/19,868.20 = 19,868.20/x
  3. Step 3: Cross multiply
    9,198.14x = 19,868.20 × 19,868.20
  4. Step 4: Simplify right side
    9,198.14x = 394,745,495.42
  5. Step 5: Solve for x
    x = 394,745,495.42/9,198.14
  6. Step 6: Final answer
    x = 42,915.79

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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.