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Finding the Third Proportional to 271.84 and 421.11

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Solution

The third proportional to 271.84 and 421.11 is: 652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 421.11 = 421.11 : x
  2. Step 2: Convert to fraction form
    271.84/421.11 = 421.11/x
  3. Step 3: Cross multiply
    271.84x = 421.11 × 421.11
  4. Step 4: Simplify right side
    271.84x = 177,333.11
  5. Step 5: Solve for x
    x = 177,333.11/271.84
  6. Step 6: Final answer
    x = 652.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.