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Finding the Third Proportional to 286.75 and 674.75

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Solution

The third proportional to 286.75 and 674.75 is: 1,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.75 : 674.75 = 674.75 : x
  2. Step 2: Convert to fraction form
    286.75/674.75 = 674.75/x
  3. Step 3: Cross multiply
    286.75x = 674.75 × 674.75
  4. Step 4: Simplify right side
    286.75x = 455,287.56
  5. Step 5: Solve for x
    x = 455,287.56/286.75
  6. Step 6: Final answer
    x = 1,587.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.