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Finding the Third Proportional to 2,619 and 6,807.75

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Solution

The third proportional to 2,619 and 6,807.75 is: 17,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619 : 6,807.75 = 6,807.75 : x
  2. Step 2: Convert to fraction form
    2,619/6,807.75 = 6,807.75/x
  3. Step 3: Cross multiply
    2,619x = 6,807.75 × 6,807.75
  4. Step 4: Simplify right side
    2,619x = 46,345,460.06
  5. Step 5: Solve for x
    x = 46,345,460.06/2,619
  6. Step 6: Final answer
    x = 17,695.86

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.