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Finding the Third Proportional to 378,234 and 809,988

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Solution

The third proportional to 378,234 and 809,988 is: 1,734,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,234 : 809,988 = 809,988 : x
  2. Step 2: Convert to fraction form
    378,234/809,988 = 809,988/x
  3. Step 3: Cross multiply
    378,234x = 809,988 × 809,988
  4. Step 4: Simplify right side
    378,234x = 656,080,560,144
  5. Step 5: Solve for x
    x = 656,080,560,144/378,234
  6. Step 6: Final answer
    x = 1,734,589.06

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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.