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Finding the Third Proportional to 2,178 and 5,079

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Solution

The third proportional to 2,178 and 5,079 is: 11,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178 : 5,079 = 5,079 : x
  2. Step 2: Convert to fraction form
    2,178/5,079 = 5,079/x
  3. Step 3: Cross multiply
    2,178x = 5,079 × 5,079
  4. Step 4: Simplify right side
    2,178x = 25,796,241
  5. Step 5: Solve for x
    x = 25,796,241/2,178
  6. Step 6: Final answer
    x = 11,844.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.