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Finding the Third Proportional to 1,807.25 and 3,940.75

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Solution

The third proportional to 1,807.25 and 3,940.75 is: 8,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.25 : 3,940.75 = 3,940.75 : x
  2. Step 2: Convert to fraction form
    1,807.25/3,940.75 = 3,940.75/x
  3. Step 3: Cross multiply
    1,807.25x = 3,940.75 × 3,940.75
  4. Step 4: Simplify right side
    1,807.25x = 15,529,510.56
  5. Step 5: Solve for x
    x = 15,529,510.56/1,807.25
  6. Step 6: Final answer
    x = 8,592.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.