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Finding the Third Proportional to 224,343 and 494,226

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Solution

The third proportional to 224,343 and 494,226 is: 1,088,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,343 : 494,226 = 494,226 : x
  2. Step 2: Convert to fraction form
    224,343/494,226 = 494,226/x
  3. Step 3: Cross multiply
    224,343x = 494,226 × 494,226
  4. Step 4: Simplify right side
    224,343x = 244,259,339,076
  5. Step 5: Solve for x
    x = 244,259,339,076/224,343
  6. Step 6: Final answer
    x = 1,088,776.29

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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.