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Finding the Third Proportional to 135,198.50 and 212,076.50

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Solution

The third proportional to 135,198.50 and 212,076.50 is: 332,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198.50 : 212,076.50 = 212,076.50 : x
  2. Step 2: Convert to fraction form
    135,198.50/212,076.50 = 212,076.50/x
  3. Step 3: Cross multiply
    135,198.50x = 212,076.50 × 212,076.50
  4. Step 4: Simplify right side
    135,198.50x = 44,976,441,852.25
  5. Step 5: Solve for x
    x = 44,976,441,852.25/135,198.50
  6. Step 6: Final answer
    x = 332,669.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.