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Finding the Third Proportional to 286.59 and 447.05

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Solution

The third proportional to 286.59 and 447.05 is: 697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.59 : 447.05 = 447.05 : x
  2. Step 2: Convert to fraction form
    286.59/447.05 = 447.05/x
  3. Step 3: Cross multiply
    286.59x = 447.05 × 447.05
  4. Step 4: Simplify right side
    286.59x = 199,850.91
  5. Step 5: Solve for x
    x = 199,850.91/286.59
  6. Step 6: Final answer
    x = 697.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.