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Finding the Third Proportional to 336.38 and 704.79

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Solution

The third proportional to 336.38 and 704.79 is: 1,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 704.79 = 704.79 : x
  2. Step 2: Convert to fraction form
    336.38/704.79 = 704.79/x
  3. Step 3: Cross multiply
    336.38x = 704.79 × 704.79
  4. Step 4: Simplify right side
    336.38x = 496,735.88
  5. Step 5: Solve for x
    x = 496,735.88/336.38
  6. Step 6: Final answer
    x = 1,476.71

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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.