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Finding the Third Proportional to 1,338.40 and 2,813.48

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Solution

The third proportional to 1,338.40 and 2,813.48 is: 5,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.40 : 2,813.48 = 2,813.48 : x
  2. Step 2: Convert to fraction form
    1,338.40/2,813.48 = 2,813.48/x
  3. Step 3: Cross multiply
    1,338.40x = 2,813.48 × 2,813.48
  4. Step 4: Simplify right side
    1,338.40x = 7,915,694.33
  5. Step 5: Solve for x
    x = 7,915,694.33/1,338.40
  6. Step 6: Final answer
    x = 5,914.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.