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Finding the Third Proportional to 176.20 and 381.23

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Solution

The third proportional to 176.20 and 381.23 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 381.23 = 381.23 : x
  2. Step 2: Convert to fraction form
    176.20/381.23 = 381.23/x
  3. Step 3: Cross multiply
    176.20x = 381.23 × 381.23
  4. Step 4: Simplify right side
    176.20x = 145,336.30
  5. Step 5: Solve for x
    x = 145,336.30/176.20
  6. Step 6: Final answer
    x = 824.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.