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Finding the Third Proportional to 311,102 and 666,436

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Solution

The third proportional to 311,102 and 666,436 is: 1,427,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,102 : 666,436 = 666,436 : x
  2. Step 2: Convert to fraction form
    311,102/666,436 = 666,436/x
  3. Step 3: Cross multiply
    311,102x = 666,436 × 666,436
  4. Step 4: Simplify right side
    311,102x = 444,136,942,096
  5. Step 5: Solve for x
    x = 444,136,942,096/311,102
  6. Step 6: Final answer
    x = 1,427,624.84

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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.