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Finding the Third Proportional to 128,844 and 188,322

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Solution

The third proportional to 128,844 and 188,322 is: 275,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,844 : 188,322 = 188,322 : x
  2. Step 2: Convert to fraction form
    128,844/188,322 = 188,322/x
  3. Step 3: Cross multiply
    128,844x = 188,322 × 188,322
  4. Step 4: Simplify right side
    128,844x = 35,465,175,684
  5. Step 5: Solve for x
    x = 35,465,175,684/128,844
  6. Step 6: Final answer
    x = 275,256.71

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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.