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Finding the Third Proportional to 2,148 and 3,228.75

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Solution

The third proportional to 2,148 and 3,228.75 is: 4,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 3,228.75 = 3,228.75 : x
  2. Step 2: Convert to fraction form
    2,148/3,228.75 = 3,228.75/x
  3. Step 3: Cross multiply
    2,148x = 3,228.75 × 3,228.75
  4. Step 4: Simplify right side
    2,148x = 10,424,826.56
  5. Step 5: Solve for x
    x = 10,424,826.56/2,148
  6. Step 6: Final answer
    x = 4,853.27

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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.