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Finding the Third Proportional to 1,483 and 3,191

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Solution

The third proportional to 1,483 and 3,191 is: 6,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483 : 3,191 = 3,191 : x
  2. Step 2: Convert to fraction form
    1,483/3,191 = 3,191/x
  3. Step 3: Cross multiply
    1,483x = 3,191 × 3,191
  4. Step 4: Simplify right side
    1,483x = 10,182,481
  5. Step 5: Solve for x
    x = 10,182,481/1,483
  6. Step 6: Final answer
    x = 6,866.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.