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Finding the Third Proportional to 178,822 and 388,400

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Solution

The third proportional to 178,822 and 388,400 is: 843,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,822 : 388,400 = 388,400 : x
  2. Step 2: Convert to fraction form
    178,822/388,400 = 388,400/x
  3. Step 3: Cross multiply
    178,822x = 388,400 × 388,400
  4. Step 4: Simplify right side
    178,822x = 150,854,560,000
  5. Step 5: Solve for x
    x = 150,854,560,000/178,822
  6. Step 6: Final answer
    x = 843,601.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.