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Finding the Third Proportional to 840.50 and 1,843.25

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Solution

The third proportional to 840.50 and 1,843.25 is: 4,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.50 : 1,843.25 = 1,843.25 : x
  2. Step 2: Convert to fraction form
    840.50/1,843.25 = 1,843.25/x
  3. Step 3: Cross multiply
    840.50x = 1,843.25 × 1,843.25
  4. Step 4: Simplify right side
    840.50x = 3,397,570.56
  5. Step 5: Solve for x
    x = 3,397,570.56/840.50
  6. Step 6: Final answer
    x = 4,042.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.