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Finding the Third Proportional to 5,681.81 and 12,198.09

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Solution

The third proportional to 5,681.81 and 12,198.09 is: 26,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.81 : 12,198.09 = 12,198.09 : x
  2. Step 2: Convert to fraction form
    5,681.81/12,198.09 = 12,198.09/x
  3. Step 3: Cross multiply
    5,681.81x = 12,198.09 × 12,198.09
  4. Step 4: Simplify right side
    5,681.81x = 148,793,491.13
  5. Step 5: Solve for x
    x = 148,793,491.13/5,681.81
  6. Step 6: Final answer
    x = 26,187.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.