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Finding the Third Proportional to 3,912.75 and 8,148.94

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Solution

The third proportional to 3,912.75 and 8,148.94 is: 16,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.75 : 8,148.94 = 8,148.94 : x
  2. Step 2: Convert to fraction form
    3,912.75/8,148.94 = 8,148.94/x
  3. Step 3: Cross multiply
    3,912.75x = 8,148.94 × 8,148.94
  4. Step 4: Simplify right side
    3,912.75x = 66,405,182.38
  5. Step 5: Solve for x
    x = 66,405,182.38/3,912.75
  6. Step 6: Final answer
    x = 16,971.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.