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Finding the Third Proportional to 311,236 and 671,624

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Solution

The third proportional to 311,236 and 671,624 is: 1,449,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,236 : 671,624 = 671,624 : x
  2. Step 2: Convert to fraction form
    311,236/671,624 = 671,624/x
  3. Step 3: Cross multiply
    311,236x = 671,624 × 671,624
  4. Step 4: Simplify right side
    311,236x = 451,078,797,376
  5. Step 5: Solve for x
    x = 451,078,797,376/311,236
  6. Step 6: Final answer
    x = 1,449,314.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.