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Finding the Third Proportional to 311,086 and 666,234

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Solution

The third proportional to 311,086 and 666,234 is: 1,426,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086 : 666,234 = 666,234 : x
  2. Step 2: Convert to fraction form
    311,086/666,234 = 666,234/x
  3. Step 3: Cross multiply
    311,086x = 666,234 × 666,234
  4. Step 4: Simplify right side
    311,086x = 443,867,742,756
  5. Step 5: Solve for x
    x = 443,867,742,756/311,086
  6. Step 6: Final answer
    x = 1,426,832.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.