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Finding the Third Proportional to 54,600.19 and 111,846.75

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Solution

The third proportional to 54,600.19 and 111,846.75 is: 229,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,600.19 : 111,846.75 = 111,846.75 : x
  2. Step 2: Convert to fraction form
    54,600.19/111,846.75 = 111,846.75/x
  3. Step 3: Cross multiply
    54,600.19x = 111,846.75 × 111,846.75
  4. Step 4: Simplify right side
    54,600.19x = 12,509,695,485.56
  5. Step 5: Solve for x
    x = 12,509,695,485.56/54,600.19
  6. Step 6: Final answer
    x = 229,114.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.