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Finding the Third Proportional to 3,786 and 4,191

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Solution

The third proportional to 3,786 and 4,191 is: 4,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 4,191 = 4,191 : x
  2. Step 2: Convert to fraction form
    3,786/4,191 = 4,191/x
  3. Step 3: Cross multiply
    3,786x = 4,191 × 4,191
  4. Step 4: Simplify right side
    3,786x = 17,564,481
  5. Step 5: Solve for x
    x = 17,564,481/3,786
  6. Step 6: Final answer
    x = 4,639.32

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.