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Finding the Third Proportional to 132,200 and 188,456

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Solution

The third proportional to 132,200 and 188,456 is: 268,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,200 : 188,456 = 188,456 : x
  2. Step 2: Convert to fraction form
    132,200/188,456 = 188,456/x
  3. Step 3: Cross multiply
    132,200x = 188,456 × 188,456
  4. Step 4: Simplify right side
    132,200x = 35,515,663,936
  5. Step 5: Solve for x
    x = 35,515,663,936/132,200
  6. Step 6: Final answer
    x = 268,651.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.