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Finding the Third Proportional to 311,282 and 703,397

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Solution

The third proportional to 311,282 and 703,397 is: 1,589,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,282 : 703,397 = 703,397 : x
  2. Step 2: Convert to fraction form
    311,282/703,397 = 703,397/x
  3. Step 3: Cross multiply
    311,282x = 703,397 × 703,397
  4. Step 4: Simplify right side
    311,282x = 494,767,339,609
  5. Step 5: Solve for x
    x = 494,767,339,609/311,282
  6. Step 6: Final answer
    x = 1,589,450.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.