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Finding the Third Proportional to 3,780 and 5,453.16

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Solution

The third proportional to 3,780 and 5,453.16 is: 7,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,453.16 = 5,453.16 : x
  2. Step 2: Convert to fraction form
    3,780/5,453.16 = 5,453.16/x
  3. Step 3: Cross multiply
    3,780x = 5,453.16 × 5,453.16
  4. Step 4: Simplify right side
    3,780x = 29,736,913.09
  5. Step 5: Solve for x
    x = 29,736,913.09/3,780
  6. Step 6: Final answer
    x = 7,866.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.