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Finding the Third Proportional to 5,447.81 and 8,418.09

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Solution

The third proportional to 5,447.81 and 8,418.09 is: 13,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.81 : 8,418.09 = 8,418.09 : x
  2. Step 2: Convert to fraction form
    5,447.81/8,418.09 = 8,418.09/x
  3. Step 3: Cross multiply
    5,447.81x = 8,418.09 × 8,418.09
  4. Step 4: Simplify right side
    5,447.81x = 70,864,302.38
  5. Step 5: Solve for x
    x = 70,864,302.38/5,447.81
  6. Step 6: Final answer
    x = 13,007.85

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