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Finding the Third Proportional to 300,176 and 422,178

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Solution

The third proportional to 300,176 and 422,178 is: 593,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,176 : 422,178 = 422,178 : x
  2. Step 2: Convert to fraction form
    300,176/422,178 = 422,178/x
  3. Step 3: Cross multiply
    300,176x = 422,178 × 422,178
  4. Step 4: Simplify right side
    300,176x = 178,234,263,684
  5. Step 5: Solve for x
    x = 178,234,263,684/300,176
  6. Step 6: Final answer
    x = 593,765.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.