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Finding the Third Proportional to 182,800 and 388,880

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Solution

The third proportional to 182,800 and 388,880 is: 827,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,800 : 388,880 = 388,880 : x
  2. Step 2: Convert to fraction form
    182,800/388,880 = 388,880/x
  3. Step 3: Cross multiply
    182,800x = 388,880 × 388,880
  4. Step 4: Simplify right side
    182,800x = 151,227,654,400
  5. Step 5: Solve for x
    x = 151,227,654,400/182,800
  6. Step 6: Final answer
    x = 827,284.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.