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Finding the Third Proportional to 54,907.50 and 120,321.25

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Solution

The third proportional to 54,907.50 and 120,321.25 is: 263,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907.50 : 120,321.25 = 120,321.25 : x
  2. Step 2: Convert to fraction form
    54,907.50/120,321.25 = 120,321.25/x
  3. Step 3: Cross multiply
    54,907.50x = 120,321.25 × 120,321.25
  4. Step 4: Simplify right side
    54,907.50x = 14,477,203,201.56
  5. Step 5: Solve for x
    x = 14,477,203,201.56/54,907.50
  6. Step 6: Final answer
    x = 263,665.31

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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.