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Finding the Third Proportional to 102,800 and 149,825

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Solution

The third proportional to 102,800 and 149,825 is: 218,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800 : 149,825 = 149,825 : x
  2. Step 2: Convert to fraction form
    102,800/149,825 = 149,825/x
  3. Step 3: Cross multiply
    102,800x = 149,825 × 149,825
  4. Step 4: Simplify right side
    102,800x = 22,447,530,625
  5. Step 5: Solve for x
    x = 22,447,530,625/102,800
  6. Step 6: Final answer
    x = 218,361.19

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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.