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Finding the Third Proportional to 31,369.78 and 68,958.84

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Solution

The third proportional to 31,369.78 and 68,958.84 is: 151,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,369.78 : 68,958.84 = 68,958.84 : x
  2. Step 2: Convert to fraction form
    31,369.78/68,958.84 = 68,958.84/x
  3. Step 3: Cross multiply
    31,369.78x = 68,958.84 × 68,958.84
  4. Step 4: Simplify right side
    31,369.78x = 4,755,322,131.34
  5. Step 5: Solve for x
    x = 4,755,322,131.34/31,369.78
  6. Step 6: Final answer
    x = 151,589.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.