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Finding the Third Proportional to 188,676 and 278,694

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Solution

The third proportional to 188,676 and 278,694 is: 411,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,676 : 278,694 = 278,694 : x
  2. Step 2: Convert to fraction form
    188,676/278,694 = 278,694/x
  3. Step 3: Cross multiply
    188,676x = 278,694 × 278,694
  4. Step 4: Simplify right side
    188,676x = 77,670,345,636
  5. Step 5: Solve for x
    x = 77,670,345,636/188,676
  6. Step 6: Final answer
    x = 411,659.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.