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Finding the Third Proportional to 8,474.63 and 18,435.73

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Solution

The third proportional to 8,474.63 and 18,435.73 is: 40,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 18,435.73 = 18,435.73 : x
  2. Step 2: Convert to fraction form
    8,474.63/18,435.73 = 18,435.73/x
  3. Step 3: Cross multiply
    8,474.63x = 18,435.73 × 18,435.73
  4. Step 4: Simplify right side
    8,474.63x = 339,876,013.89
  5. Step 5: Solve for x
    x = 339,876,013.89/8,474.63
  6. Step 6: Final answer
    x = 40,105.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.