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Finding the Third Proportional to 132,198 and 188,453

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Solution

The third proportional to 132,198 and 188,453 is: 268,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,198 : 188,453 = 188,453 : x
  2. Step 2: Convert to fraction form
    132,198/188,453 = 188,453/x
  3. Step 3: Cross multiply
    132,198x = 188,453 × 188,453
  4. Step 4: Simplify right side
    132,198x = 35,514,533,209
  5. Step 5: Solve for x
    x = 35,514,533,209/132,198
  6. Step 6: Final answer
    x = 268,646.52

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Why These Related Problems?

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