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Finding the Third Proportional to 3,040.50 and 4,563.94

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Solution

The third proportional to 3,040.50 and 4,563.94 is: 6,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.50 : 4,563.94 = 4,563.94 : x
  2. Step 2: Convert to fraction form
    3,040.50/4,563.94 = 4,563.94/x
  3. Step 3: Cross multiply
    3,040.50x = 4,563.94 × 4,563.94
  4. Step 4: Simplify right side
    3,040.50x = 20,829,525.50
  5. Step 5: Solve for x
    x = 20,829,525.50/3,040.50
  6. Step 6: Final answer
    x = 6,850.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.