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Finding the Third Proportional to 228.87 and 339.03

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Solution

The third proportional to 228.87 and 339.03 is: 502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.87 : 339.03 = 339.03 : x
  2. Step 2: Convert to fraction form
    228.87/339.03 = 339.03/x
  3. Step 3: Cross multiply
    228.87x = 339.03 × 339.03
  4. Step 4: Simplify right side
    228.87x = 114,940.86
  5. Step 5: Solve for x
    x = 114,940.86/228.87
  6. Step 6: Final answer
    x = 502.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.