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Finding the Third Proportional to 219.13 and 336.19

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Solution

The third proportional to 219.13 and 336.19 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 336.19 = 336.19 : x
  2. Step 2: Convert to fraction form
    219.13/336.19 = 336.19/x
  3. Step 3: Cross multiply
    219.13x = 336.19 × 336.19
  4. Step 4: Simplify right side
    219.13x = 113,022.04
  5. Step 5: Solve for x
    x = 113,022.04/219.13
  6. Step 6: Final answer
    x = 515.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.