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Finding the Third Proportional to 311,082 and 666,225

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Solution

The third proportional to 311,082 and 666,225 is: 1,426,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,082 : 666,225 = 666,225 : x
  2. Step 2: Convert to fraction form
    311,082/666,225 = 666,225/x
  3. Step 3: Cross multiply
    311,082x = 666,225 × 666,225
  4. Step 4: Simplify right side
    311,082x = 443,855,750,625
  5. Step 5: Solve for x
    x = 443,855,750,625/311,082
  6. Step 6: Final answer
    x = 1,426,812.71

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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.