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Finding the Third Proportional to 1,231.75 and 2,620.38

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Solution

The third proportional to 1,231.75 and 2,620.38 is: 5,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.75 : 2,620.38 = 2,620.38 : x
  2. Step 2: Convert to fraction form
    1,231.75/2,620.38 = 2,620.38/x
  3. Step 3: Cross multiply
    1,231.75x = 2,620.38 × 2,620.38
  4. Step 4: Simplify right side
    1,231.75x = 6,866,365.14
  5. Step 5: Solve for x
    x = 6,866,365.14/1,231.75
  6. Step 6: Final answer
    x = 5,574.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.