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Finding the Third Proportional to 234.77 and 313.56

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Solution

The third proportional to 234.77 and 313.56 is: 418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 313.56 = 313.56 : x
  2. Step 2: Convert to fraction form
    234.77/313.56 = 313.56/x
  3. Step 3: Cross multiply
    234.77x = 313.56 × 313.56
  4. Step 4: Simplify right side
    234.77x = 98,318.99
  5. Step 5: Solve for x
    x = 98,318.99/234.77
  6. Step 6: Final answer
    x = 418.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.