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Finding the Third Proportional to 3,238 and 3,686

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Solution

The third proportional to 3,238 and 3,686 is: 4,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238 : 3,686 = 3,686 : x
  2. Step 2: Convert to fraction form
    3,238/3,686 = 3,686/x
  3. Step 3: Cross multiply
    3,238x = 3,686 × 3,686
  4. Step 4: Simplify right side
    3,238x = 13,586,596
  5. Step 5: Solve for x
    x = 13,586,596/3,238
  6. Step 6: Final answer
    x = 4,195.98

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.