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Finding the Third Proportional to 286.50 and 374.25

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Solution

The third proportional to 286.50 and 374.25 is: 488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 374.25 = 374.25 : x
  2. Step 2: Convert to fraction form
    286.50/374.25 = 374.25/x
  3. Step 3: Cross multiply
    286.50x = 374.25 × 374.25
  4. Step 4: Simplify right side
    286.50x = 140,063.06
  5. Step 5: Solve for x
    x = 140,063.06/286.50
  6. Step 6: Final answer
    x = 488.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.