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Finding the Third Proportional to 338.75 and 700.94

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Solution

The third proportional to 338.75 and 700.94 is: 1,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 700.94 = 700.94 : x
  2. Step 2: Convert to fraction form
    338.75/700.94 = 700.94/x
  3. Step 3: Cross multiply
    338.75x = 700.94 × 700.94
  4. Step 4: Simplify right side
    338.75x = 491,313.38
  5. Step 5: Solve for x
    x = 491,313.38/338.75
  6. Step 6: Final answer
    x = 1,450.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.