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Finding the Third Proportional to 51,867.75 and 80,105

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Solution

The third proportional to 51,867.75 and 80,105 is: 123,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,867.75 : 80,105 = 80,105 : x
  2. Step 2: Convert to fraction form
    51,867.75/80,105 = 80,105/x
  3. Step 3: Cross multiply
    51,867.75x = 80,105 × 80,105
  4. Step 4: Simplify right side
    51,867.75x = 6,416,811,025
  5. Step 5: Solve for x
    x = 6,416,811,025/51,867.75
  6. Step 6: Final answer
    x = 123,714.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.