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Finding the Third Proportional to 102,288 and 224,800

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Solution

The third proportional to 102,288 and 224,800 is: 494,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,288 : 224,800 = 224,800 : x
  2. Step 2: Convert to fraction form
    102,288/224,800 = 224,800/x
  3. Step 3: Cross multiply
    102,288x = 224,800 × 224,800
  4. Step 4: Simplify right side
    102,288x = 50,535,040,000
  5. Step 5: Solve for x
    x = 50,535,040,000/102,288
  6. Step 6: Final answer
    x = 494,046.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.