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Finding the Third Proportional to 219.43 and 335.55

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Solution

The third proportional to 219.43 and 335.55 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.43 : 335.55 = 335.55 : x
  2. Step 2: Convert to fraction form
    219.43/335.55 = 335.55/x
  3. Step 3: Cross multiply
    219.43x = 335.55 × 335.55
  4. Step 4: Simplify right side
    219.43x = 112,593.02
  5. Step 5: Solve for x
    x = 112,593.02/219.43
  6. Step 6: Final answer
    x = 513.12

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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.