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Finding the Third Proportional to 311,996 and 502,448

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Solution

The third proportional to 311,996 and 502,448 is: 809,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,996 : 502,448 = 502,448 : x
  2. Step 2: Convert to fraction form
    311,996/502,448 = 502,448/x
  3. Step 3: Cross multiply
    311,996x = 502,448 × 502,448
  4. Step 4: Simplify right side
    311,996x = 252,453,992,704
  5. Step 5: Solve for x
    x = 252,453,992,704/311,996
  6. Step 6: Final answer
    x = 809,157.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.