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Finding the Third Proportional to 271.41 and 640.22

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Solution

The third proportional to 271.41 and 640.22 is: 1,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 640.22 = 640.22 : x
  2. Step 2: Convert to fraction form
    271.41/640.22 = 640.22/x
  3. Step 3: Cross multiply
    271.41x = 640.22 × 640.22
  4. Step 4: Simplify right side
    271.41x = 409,880.05
  5. Step 5: Solve for x
    x = 409,880.05/271.41
  6. Step 6: Final answer
    x = 1,510.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.