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Finding the Third Proportional to 2,072.75 and 4,039.75

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Solution

The third proportional to 2,072.75 and 4,039.75 is: 7,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.75 : 4,039.75 = 4,039.75 : x
  2. Step 2: Convert to fraction form
    2,072.75/4,039.75 = 4,039.75/x
  3. Step 3: Cross multiply
    2,072.75x = 4,039.75 × 4,039.75
  4. Step 4: Simplify right side
    2,072.75x = 16,319,580.06
  5. Step 5: Solve for x
    x = 16,319,580.06/2,072.75
  6. Step 6: Final answer
    x = 7,873.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.