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Finding the Third Proportional to 105,576.75 and 229,745.25

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Solution

The third proportional to 105,576.75 and 229,745.25 is: 499,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576.75 : 229,745.25 = 229,745.25 : x
  2. Step 2: Convert to fraction form
    105,576.75/229,745.25 = 229,745.25/x
  3. Step 3: Cross multiply
    105,576.75x = 229,745.25 × 229,745.25
  4. Step 4: Simplify right side
    105,576.75x = 52,782,879,897.56
  5. Step 5: Solve for x
    x = 52,782,879,897.56/105,576.75
  6. Step 6: Final answer
    x = 499,947.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.