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Finding the Third Proportional to 135.50 and 223.63

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Solution

The third proportional to 135.50 and 223.63 is: 369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 223.63 = 223.63 : x
  2. Step 2: Convert to fraction form
    135.50/223.63 = 223.63/x
  3. Step 3: Cross multiply
    135.50x = 223.63 × 223.63
  4. Step 4: Simplify right side
    135.50x = 50,008.14
  5. Step 5: Solve for x
    x = 50,008.14/135.50
  6. Step 6: Final answer
    x = 369.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.