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Finding the Third Proportional to 223.36 and 336.68

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Solution

The third proportional to 223.36 and 336.68 is: 507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.36 : 336.68 = 336.68 : x
  2. Step 2: Convert to fraction form
    223.36/336.68 = 336.68/x
  3. Step 3: Cross multiply
    223.36x = 336.68 × 336.68
  4. Step 4: Simplify right side
    223.36x = 113,355.18
  5. Step 5: Solve for x
    x = 113,355.18/223.36
  6. Step 6: Final answer
    x = 507.51

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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.