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Finding the Third Proportional to 368 and 682

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Solution

The third proportional to 368 and 682 is: 1,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    368 : 682 = 682 : x
  2. Step 2: Convert to fraction form
    368/682 = 682/x
  3. Step 3: Cross multiply
    368x = 682 × 682
  4. Step 4: Simplify right side
    368x = 465,124
  5. Step 5: Solve for x
    x = 465,124/368
  6. Step 6: Final answer
    x = 1,263.92

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.