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Finding the Third Proportional to 211.03 and 301.78

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Solution

The third proportional to 211.03 and 301.78 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.03 : 301.78 = 301.78 : x
  2. Step 2: Convert to fraction form
    211.03/301.78 = 301.78/x
  3. Step 3: Cross multiply
    211.03x = 301.78 × 301.78
  4. Step 4: Simplify right side
    211.03x = 91,071.92
  5. Step 5: Solve for x
    x = 91,071.92/211.03
  6. Step 6: Final answer
    x = 431.56

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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.