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Finding the Third Proportional to 228.29 and 344.09

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Solution

The third proportional to 228.29 and 344.09 is: 518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.29 : 344.09 = 344.09 : x
  2. Step 2: Convert to fraction form
    228.29/344.09 = 344.09/x
  3. Step 3: Cross multiply
    228.29x = 344.09 × 344.09
  4. Step 4: Simplify right side
    228.29x = 118,399.16
  5. Step 5: Solve for x
    x = 118,399.16/228.29
  6. Step 6: Final answer
    x = 518.64

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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.