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Finding the Third Proportional to 271.69 and 649.22

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Solution

The third proportional to 271.69 and 649.22 is: 1,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 649.22 = 649.22 : x
  2. Step 2: Convert to fraction form
    271.69/649.22 = 649.22/x
  3. Step 3: Cross multiply
    271.69x = 649.22 × 649.22
  4. Step 4: Simplify right side
    271.69x = 421,484.99
  5. Step 5: Solve for x
    x = 421,484.99/271.69
  6. Step 6: Final answer
    x = 1,551.36

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.