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Finding the Third Proportional to 338.87 and 746.09

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Solution

The third proportional to 338.87 and 746.09 is: 1,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.87 : 746.09 = 746.09 : x
  2. Step 2: Convert to fraction form
    338.87/746.09 = 746.09/x
  3. Step 3: Cross multiply
    338.87x = 746.09 × 746.09
  4. Step 4: Simplify right side
    338.87x = 556,644.23
  5. Step 5: Solve for x
    x = 556,644.23/338.87
  6. Step 6: Final answer
    x = 1,642.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.