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Finding the Third Proportional to 1,177.45 and 2,550.66

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Solution

The third proportional to 1,177.45 and 2,550.66 is: 5,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.45 : 2,550.66 = 2,550.66 : x
  2. Step 2: Convert to fraction form
    1,177.45/2,550.66 = 2,550.66/x
  3. Step 3: Cross multiply
    1,177.45x = 2,550.66 × 2,550.66
  4. Step 4: Simplify right side
    1,177.45x = 6,505,847.31
  5. Step 5: Solve for x
    x = 6,505,847.31/1,177.45
  6. Step 6: Final answer
    x = 5,525.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.