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Finding the Third Proportional to 311,529 and 483,817

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Solution

The third proportional to 311,529 and 483,817 is: 751,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,529 : 483,817 = 483,817 : x
  2. Step 2: Convert to fraction form
    311,529/483,817 = 483,817/x
  3. Step 3: Cross multiply
    311,529x = 483,817 × 483,817
  4. Step 4: Simplify right side
    311,529x = 234,078,889,489
  5. Step 5: Solve for x
    x = 234,078,889,489/311,529
  6. Step 6: Final answer
    x = 751,387.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.