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Finding the Third Proportional to 234.63 and 353.81

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Solution

The third proportional to 234.63 and 353.81 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 353.81 = 353.81 : x
  2. Step 2: Convert to fraction form
    234.63/353.81 = 353.81/x
  3. Step 3: Cross multiply
    234.63x = 353.81 × 353.81
  4. Step 4: Simplify right side
    234.63x = 125,183.29
  5. Step 5: Solve for x
    x = 125,183.29/234.63
  6. Step 6: Final answer
    x = 533.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.