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Finding the Third Proportional to 188,136.50 and 288,198.75

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Solution

The third proportional to 188,136.50 and 288,198.75 is: 441,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,136.50 : 288,198.75 = 288,198.75 : x
  2. Step 2: Convert to fraction form
    188,136.50/288,198.75 = 288,198.75/x
  3. Step 3: Cross multiply
    188,136.50x = 288,198.75 × 288,198.75
  4. Step 4: Simplify right side
    188,136.50x = 83,058,519,501.56
  5. Step 5: Solve for x
    x = 83,058,519,501.56/188,136.50
  6. Step 6: Final answer
    x = 441,480.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.