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Finding the Third Proportional to 231,592 and 504,800

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Solution

The third proportional to 231,592 and 504,800 is: 1,100,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,592 : 504,800 = 504,800 : x
  2. Step 2: Convert to fraction form
    231,592/504,800 = 504,800/x
  3. Step 3: Cross multiply
    231,592x = 504,800 × 504,800
  4. Step 4: Simplify right side
    231,592x = 254,823,040,000
  5. Step 5: Solve for x
    x = 254,823,040,000/231,592
  6. Step 6: Final answer
    x = 1,100,310.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.