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Finding the Third Proportional to 3,852 and 4,866.50

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Solution

The third proportional to 3,852 and 4,866.50 is: 6,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852 : 4,866.50 = 4,866.50 : x
  2. Step 2: Convert to fraction form
    3,852/4,866.50 = 4,866.50/x
  3. Step 3: Cross multiply
    3,852x = 4,866.50 × 4,866.50
  4. Step 4: Simplify right side
    3,852x = 23,682,822.25
  5. Step 5: Solve for x
    x = 23,682,822.25/3,852
  6. Step 6: Final answer
    x = 6,148.19

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.