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Finding the Third Proportional to 178,578 and 270,171

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Solution

The third proportional to 178,578 and 270,171 is: 408,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,578 : 270,171 = 270,171 : x
  2. Step 2: Convert to fraction form
    178,578/270,171 = 270,171/x
  3. Step 3: Cross multiply
    178,578x = 270,171 × 270,171
  4. Step 4: Simplify right side
    178,578x = 72,992,369,241
  5. Step 5: Solve for x
    x = 72,992,369,241/178,578
  6. Step 6: Final answer
    x = 408,742.23

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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.