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Finding the Third Proportional to 298 and 378.50

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Solution

The third proportional to 298 and 378.50 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 378.50 = 378.50 : x
  2. Step 2: Convert to fraction form
    298/378.50 = 378.50/x
  3. Step 3: Cross multiply
    298x = 378.50 × 378.50
  4. Step 4: Simplify right side
    298x = 143,262.25
  5. Step 5: Solve for x
    x = 143,262.25/298
  6. Step 6: Final answer
    x = 480.75

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.