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Finding the Third Proportional to 308.06 and 819.94

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Solution

The third proportional to 308.06 and 819.94 is: 2,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 819.94 = 819.94 : x
  2. Step 2: Convert to fraction form
    308.06/819.94 = 819.94/x
  3. Step 3: Cross multiply
    308.06x = 819.94 × 819.94
  4. Step 4: Simplify right side
    308.06x = 672,297.50
  5. Step 5: Solve for x
    x = 672,297.50/308.06
  6. Step 6: Final answer
    x = 2,182.34

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.