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Finding the Third Proportional to 8,410.78 and 12,162.09

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Solution

The third proportional to 8,410.78 and 12,162.09 is: 17,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.78 : 12,162.09 = 12,162.09 : x
  2. Step 2: Convert to fraction form
    8,410.78/12,162.09 = 12,162.09/x
  3. Step 3: Cross multiply
    8,410.78x = 12,162.09 × 12,162.09
  4. Step 4: Simplify right side
    8,410.78x = 147,916,524.38
  5. Step 5: Solve for x
    x = 147,916,524.38/8,410.78
  6. Step 6: Final answer
    x = 17,586.54

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.