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Finding the Third Proportional to 1,647 and 2,961

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Solution

The third proportional to 1,647 and 2,961 is: 5,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647 : 2,961 = 2,961 : x
  2. Step 2: Convert to fraction form
    1,647/2,961 = 2,961/x
  3. Step 3: Cross multiply
    1,647x = 2,961 × 2,961
  4. Step 4: Simplify right side
    1,647x = 8,767,521
  5. Step 5: Solve for x
    x = 8,767,521/1,647
  6. Step 6: Final answer
    x = 5,323.33

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.