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Finding the Third Proportional to 178,620 and 270,234

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Solution

The third proportional to 178,620 and 270,234 is: 408,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,620 : 270,234 = 270,234 : x
  2. Step 2: Convert to fraction form
    178,620/270,234 = 270,234/x
  3. Step 3: Cross multiply
    178,620x = 270,234 × 270,234
  4. Step 4: Simplify right side
    178,620x = 73,026,414,756
  5. Step 5: Solve for x
    x = 73,026,414,756/178,620
  6. Step 6: Final answer
    x = 408,836.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.