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Finding the Third Proportional to 178.45 and 380.95

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Solution

The third proportional to 178.45 and 380.95 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 380.95 = 380.95 : x
  2. Step 2: Convert to fraction form
    178.45/380.95 = 380.95/x
  3. Step 3: Cross multiply
    178.45x = 380.95 × 380.95
  4. Step 4: Simplify right side
    178.45x = 145,125.28
  5. Step 5: Solve for x
    x = 145,125.28/178.45
  6. Step 6: Final answer
    x = 813.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.