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Finding the Third Proportional to 222.38 and 336.63

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Solution

The third proportional to 222.38 and 336.63 is: 509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.38 : 336.63 = 336.63 : x
  2. Step 2: Convert to fraction form
    222.38/336.63 = 336.63/x
  3. Step 3: Cross multiply
    222.38x = 336.63 × 336.63
  4. Step 4: Simplify right side
    222.38x = 113,316.39
  5. Step 5: Solve for x
    x = 113,316.39/222.38
  6. Step 6: Final answer
    x = 509.57

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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.