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Finding the Third Proportional to 80,731 and 110,823

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Solution

The third proportional to 80,731 and 110,823 is: 152,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,731 : 110,823 = 110,823 : x
  2. Step 2: Convert to fraction form
    80,731/110,823 = 110,823/x
  3. Step 3: Cross multiply
    80,731x = 110,823 × 110,823
  4. Step 4: Simplify right side
    80,731x = 12,281,737,329
  5. Step 5: Solve for x
    x = 12,281,737,329/80,731
  6. Step 6: Final answer
    x = 152,131.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.