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Finding the Third Proportional to 176.48 and 380.24

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Solution

The third proportional to 176.48 and 380.24 is: 819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.48 : 380.24 = 380.24 : x
  2. Step 2: Convert to fraction form
    176.48/380.24 = 380.24/x
  3. Step 3: Cross multiply
    176.48x = 380.24 × 380.24
  4. Step 4: Simplify right side
    176.48x = 144,583.38
  5. Step 5: Solve for x
    x = 144,583.38/176.48
  6. Step 6: Final answer
    x = 819.28

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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.