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Finding the Third Proportional to 188,550 and 396,489

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Solution

The third proportional to 188,550 and 396,489 is: 833,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,550 : 396,489 = 396,489 : x
  2. Step 2: Convert to fraction form
    188,550/396,489 = 396,489/x
  3. Step 3: Cross multiply
    188,550x = 396,489 × 396,489
  4. Step 4: Simplify right side
    188,550x = 157,203,527,121
  5. Step 5: Solve for x
    x = 157,203,527,121/188,550
  6. Step 6: Final answer
    x = 833,749.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.