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Finding the Third Proportional to 336.75 and 481.69

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Solution

The third proportional to 336.75 and 481.69 is: 689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 481.69 = 481.69 : x
  2. Step 2: Convert to fraction form
    336.75/481.69 = 481.69/x
  3. Step 3: Cross multiply
    336.75x = 481.69 × 481.69
  4. Step 4: Simplify right side
    336.75x = 232,022.85
  5. Step 5: Solve for x
    x = 232,022.85/336.75
  6. Step 6: Final answer
    x = 689.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.