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Finding the Third Proportional to 2,978 and 7,211

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Solution

The third proportional to 2,978 and 7,211 is: 17,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 7,211 = 7,211 : x
  2. Step 2: Convert to fraction form
    2,978/7,211 = 7,211/x
  3. Step 3: Cross multiply
    2,978x = 7,211 × 7,211
  4. Step 4: Simplify right side
    2,978x = 51,998,521
  5. Step 5: Solve for x
    x = 51,998,521/2,978
  6. Step 6: Final answer
    x = 17,460.89

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.