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Finding the Third Proportional to 31,379.06 and 68,977.41

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Solution

The third proportional to 31,379.06 and 68,977.41 is: 151,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379.06 : 68,977.41 = 68,977.41 : x
  2. Step 2: Convert to fraction form
    31,379.06/68,977.41 = 68,977.41/x
  3. Step 3: Cross multiply
    31,379.06x = 68,977.41 × 68,977.41
  4. Step 4: Simplify right side
    31,379.06x = 4,757,882,572.98
  5. Step 5: Solve for x
    x = 4,757,882,572.98/31,379.06
  6. Step 6: Final answer
    x = 151,626.03

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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.