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Finding the Third Proportional to 176.88 and 380.94

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Solution

The third proportional to 176.88 and 380.94 is: 820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 380.94 = 380.94 : x
  2. Step 2: Convert to fraction form
    176.88/380.94 = 380.94/x
  3. Step 3: Cross multiply
    176.88x = 380.94 × 380.94
  4. Step 4: Simplify right side
    176.88x = 145,113.38
  5. Step 5: Solve for x
    x = 145,113.38/176.88
  6. Step 6: Final answer
    x = 820.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.