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Finding the Third Proportional to 3,094 and 5,510

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Solution

The third proportional to 3,094 and 5,510 is: 9,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094 : 5,510 = 5,510 : x
  2. Step 2: Convert to fraction form
    3,094/5,510 = 5,510/x
  3. Step 3: Cross multiply
    3,094x = 5,510 × 5,510
  4. Step 4: Simplify right side
    3,094x = 30,360,100
  5. Step 5: Solve for x
    x = 30,360,100/3,094
  6. Step 6: Final answer
    x = 9,812.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.