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Finding the Third Proportional to 185.44 and 278.81

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Solution

The third proportional to 185.44 and 278.81 is: 419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.44 : 278.81 = 278.81 : x
  2. Step 2: Convert to fraction form
    185.44/278.81 = 278.81/x
  3. Step 3: Cross multiply
    185.44x = 278.81 × 278.81
  4. Step 4: Simplify right side
    185.44x = 77,736.41
  5. Step 5: Solve for x
    x = 77,736.41/185.44
  6. Step 6: Final answer
    x = 419.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.