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Finding the Third Proportional to 579.45 and 1,268.37

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Solution

The third proportional to 579.45 and 1,268.37 is: 2,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.45 : 1,268.37 = 1,268.37 : x
  2. Step 2: Convert to fraction form
    579.45/1,268.37 = 1,268.37/x
  3. Step 3: Cross multiply
    579.45x = 1,268.37 × 1,268.37
  4. Step 4: Simplify right side
    579.45x = 1,608,755.32
  5. Step 5: Solve for x
    x = 1,608,755.32/579.45
  6. Step 6: Final answer
    x = 2,776.37

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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.