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Finding the Third Proportional to 411.66 and 836.14

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Solution

The third proportional to 411.66 and 836.14 is: 1,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.66 : 836.14 = 836.14 : x
  2. Step 2: Convert to fraction form
    411.66/836.14 = 836.14/x
  3. Step 3: Cross multiply
    411.66x = 836.14 × 836.14
  4. Step 4: Simplify right side
    411.66x = 699,135.23
  5. Step 5: Solve for x
    x = 699,135.23/411.66
  6. Step 6: Final answer
    x = 1,698.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.