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Finding the Third Proportional to 228.94 and 389.53

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Solution

The third proportional to 228.94 and 389.53 is: 662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.94 : 389.53 = 389.53 : x
  2. Step 2: Convert to fraction form
    228.94/389.53 = 389.53/x
  3. Step 3: Cross multiply
    228.94x = 389.53 × 389.53
  4. Step 4: Simplify right side
    228.94x = 151,734.59
  5. Step 5: Solve for x
    x = 151,734.59/228.94
  6. Step 6: Final answer
    x = 662.78

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.