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Finding the Third Proportional to 131.63 and 234.66

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Solution

The third proportional to 131.63 and 234.66 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 234.66 = 234.66 : x
  2. Step 2: Convert to fraction form
    131.63/234.66 = 234.66/x
  3. Step 3: Cross multiply
    131.63x = 234.66 × 234.66
  4. Step 4: Simplify right side
    131.63x = 55,063.56
  5. Step 5: Solve for x
    x = 55,063.56/131.63
  6. Step 6: Final answer
    x = 418.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.