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Finding the Third Proportional to 2,908 and 7,122

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Solution

The third proportional to 2,908 and 7,122 is: 17,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908 : 7,122 = 7,122 : x
  2. Step 2: Convert to fraction form
    2,908/7,122 = 7,122/x
  3. Step 3: Cross multiply
    2,908x = 7,122 × 7,122
  4. Step 4: Simplify right side
    2,908x = 50,722,884
  5. Step 5: Solve for x
    x = 50,722,884/2,908
  6. Step 6: Final answer
    x = 17,442.53

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.