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Finding the Third Proportional to 342.75 and 696.38

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Solution

The third proportional to 342.75 and 696.38 is: 1,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 696.38 = 696.38 : x
  2. Step 2: Convert to fraction form
    342.75/696.38 = 696.38/x
  3. Step 3: Cross multiply
    342.75x = 696.38 × 696.38
  4. Step 4: Simplify right side
    342.75x = 484,938.14
  5. Step 5: Solve for x
    x = 484,938.14/342.75
  6. Step 6: Final answer
    x = 1,414.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.