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Finding the Third Proportional to 1,728 and 2,940.75

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Solution

The third proportional to 1,728 and 2,940.75 is: 5,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,940.75 = 2,940.75 : x
  2. Step 2: Convert to fraction form
    1,728/2,940.75 = 2,940.75/x
  3. Step 3: Cross multiply
    1,728x = 2,940.75 × 2,940.75
  4. Step 4: Simplify right side
    1,728x = 8,648,010.56
  5. Step 5: Solve for x
    x = 8,648,010.56/1,728
  6. Step 6: Final answer
    x = 5,004.64

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.