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Finding the Third Proportional to 2,643 and 5,805

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Solution

The third proportional to 2,643 and 5,805 is: 12,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 5,805 = 5,805 : x
  2. Step 2: Convert to fraction form
    2,643/5,805 = 5,805/x
  3. Step 3: Cross multiply
    2,643x = 5,805 × 5,805
  4. Step 4: Simplify right side
    2,643x = 33,698,025
  5. Step 5: Solve for x
    x = 33,698,025/2,643
  6. Step 6: Final answer
    x = 12,749.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.