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Finding the Third Proportional to 7,978 and 18,634

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Solution

The third proportional to 7,978 and 18,634 is: 43,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 18,634 = 18,634 : x
  2. Step 2: Convert to fraction form
    7,978/18,634 = 18,634/x
  3. Step 3: Cross multiply
    7,978x = 18,634 × 18,634
  4. Step 4: Simplify right side
    7,978x = 347,225,956
  5. Step 5: Solve for x
    x = 347,225,956/7,978
  6. Step 6: Final answer
    x = 43,522.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.