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Finding the Third Proportional to 2,211.75 and 2,803.78

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Solution

The third proportional to 2,211.75 and 2,803.78 is: 3,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.75 : 2,803.78 = 2,803.78 : x
  2. Step 2: Convert to fraction form
    2,211.75/2,803.78 = 2,803.78/x
  3. Step 3: Cross multiply
    2,211.75x = 2,803.78 × 2,803.78
  4. Step 4: Simplify right side
    2,211.75x = 7,861,189.30
  5. Step 5: Solve for x
    x = 7,861,189.30/2,211.75
  6. Step 6: Final answer
    x = 3,554.28

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.