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Finding the Third Proportional to 351.74 and 685.44

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Solution

The third proportional to 351.74 and 685.44 is: 1,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 685.44 = 685.44 : x
  2. Step 2: Convert to fraction form
    351.74/685.44 = 685.44/x
  3. Step 3: Cross multiply
    351.74x = 685.44 × 685.44
  4. Step 4: Simplify right side
    351.74x = 469,829.92
  5. Step 5: Solve for x
    x = 469,829.92/351.74
  6. Step 6: Final answer
    x = 1,335.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.