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Finding the Third Proportional to 1,778.36 and 3,887.05

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Solution

The third proportional to 1,778.36 and 3,887.05 is: 8,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.36 : 3,887.05 = 3,887.05 : x
  2. Step 2: Convert to fraction form
    1,778.36/3,887.05 = 3,887.05/x
  3. Step 3: Cross multiply
    1,778.36x = 3,887.05 × 3,887.05
  4. Step 4: Simplify right side
    1,778.36x = 15,109,163.78
  5. Step 5: Solve for x
    x = 15,109,163.78/1,778.36
  6. Step 6: Final answer
    x = 8,496.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.