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Finding the Third Proportional to 271.75 and 388.63

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Solution

The third proportional to 271.75 and 388.63 is: 555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.75 : 388.63 = 388.63 : x
  2. Step 2: Convert to fraction form
    271.75/388.63 = 388.63/x
  3. Step 3: Cross multiply
    271.75x = 388.63 × 388.63
  4. Step 4: Simplify right side
    271.75x = 151,029.39
  5. Step 5: Solve for x
    x = 151,029.39/271.75
  6. Step 6: Final answer
    x = 555.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.