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Finding the Third Proportional to 234.23 and 343.76

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Solution

The third proportional to 234.23 and 343.76 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 343.76 = 343.76 : x
  2. Step 2: Convert to fraction form
    234.23/343.76 = 343.76/x
  3. Step 3: Cross multiply
    234.23x = 343.76 × 343.76
  4. Step 4: Simplify right side
    234.23x = 118,169.43
  5. Step 5: Solve for x
    x = 118,169.43/234.23
  6. Step 6: Final answer
    x = 504.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.