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Finding the Third Proportional to 271.16 and 561.62

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Solution

The third proportional to 271.16 and 561.62 is: 1,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.16 : 561.62 = 561.62 : x
  2. Step 2: Convert to fraction form
    271.16/561.62 = 561.62/x
  3. Step 3: Cross multiply
    271.16x = 561.62 × 561.62
  4. Step 4: Simplify right side
    271.16x = 315,418.25
  5. Step 5: Solve for x
    x = 315,418.25/271.16
  6. Step 6: Final answer
    x = 1,163.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.