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Finding the Third Proportional to 271.58 and 381.74

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Solution

The third proportional to 271.58 and 381.74 is: 536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.58 : 381.74 = 381.74 : x
  2. Step 2: Convert to fraction form
    271.58/381.74 = 381.74/x
  3. Step 3: Cross multiply
    271.58x = 381.74 × 381.74
  4. Step 4: Simplify right side
    271.58x = 145,728.59
  5. Step 5: Solve for x
    x = 145,728.59/271.58
  6. Step 6: Final answer
    x = 536.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.