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Finding the Third Proportional to 102,236 and 224,777

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Solution

The third proportional to 102,236 and 224,777 is: 494,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,236 : 224,777 = 224,777 : x
  2. Step 2: Convert to fraction form
    102,236/224,777 = 224,777/x
  3. Step 3: Cross multiply
    102,236x = 224,777 × 224,777
  4. Step 4: Simplify right side
    102,236x = 50,524,699,729
  5. Step 5: Solve for x
    x = 50,524,699,729/102,236
  6. Step 6: Final answer
    x = 494,196.76

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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.