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Finding the Third Proportional to 351.42 and 681.54

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Solution

The third proportional to 351.42 and 681.54 is: 1,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 681.54 = 681.54 : x
  2. Step 2: Convert to fraction form
    351.42/681.54 = 681.54/x
  3. Step 3: Cross multiply
    351.42x = 681.54 × 681.54
  4. Step 4: Simplify right side
    351.42x = 464,495.49
  5. Step 5: Solve for x
    x = 464,495.49/351.42
  6. Step 6: Final answer
    x = 1,321.76

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.