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Finding the Third Proportional to 298.06 and 445.41

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Solution

The third proportional to 298.06 and 445.41 is: 665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.06 : 445.41 = 445.41 : x
  2. Step 2: Convert to fraction form
    298.06/445.41 = 445.41/x
  3. Step 3: Cross multiply
    298.06x = 445.41 × 445.41
  4. Step 4: Simplify right side
    298.06x = 198,386.73
  5. Step 5: Solve for x
    x = 198,386.73/298.06
  6. Step 6: Final answer
    x = 665.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.