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Finding the Third Proportional to 384.75 and 523.38

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Solution

The third proportional to 384.75 and 523.38 is: 711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 523.38 = 523.38 : x
  2. Step 2: Convert to fraction form
    384.75/523.38 = 523.38/x
  3. Step 3: Cross multiply
    384.75x = 523.38 × 523.38
  4. Step 4: Simplify right side
    384.75x = 273,921.39
  5. Step 5: Solve for x
    x = 273,921.39/384.75
  6. Step 6: Final answer
    x = 711.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.