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Finding the Third Proportional to 3,180.75 and 3,963.75

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Solution

The third proportional to 3,180.75 and 3,963.75 is: 4,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.75 : 3,963.75 = 3,963.75 : x
  2. Step 2: Convert to fraction form
    3,180.75/3,963.75 = 3,963.75/x
  3. Step 3: Cross multiply
    3,180.75x = 3,963.75 × 3,963.75
  4. Step 4: Simplify right side
    3,180.75x = 15,711,314.06
  5. Step 5: Solve for x
    x = 15,711,314.06/3,180.75
  6. Step 6: Final answer
    x = 4,939.50

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.