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Finding the Third Proportional to 122,986 and 180,105

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Solution

The third proportional to 122,986 and 180,105 is: 263,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,986 : 180,105 = 180,105 : x
  2. Step 2: Convert to fraction form
    122,986/180,105 = 180,105/x
  3. Step 3: Cross multiply
    122,986x = 180,105 × 180,105
  4. Step 4: Simplify right side
    122,986x = 32,437,811,025
  5. Step 5: Solve for x
    x = 32,437,811,025/122,986
  6. Step 6: Final answer
    x = 263,752.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.