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Finding the Third Proportional to 104,566 and 224,302

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Solution

The third proportional to 104,566 and 224,302 is: 481,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,566 : 224,302 = 224,302 : x
  2. Step 2: Convert to fraction form
    104,566/224,302 = 224,302/x
  3. Step 3: Cross multiply
    104,566x = 224,302 × 224,302
  4. Step 4: Simplify right side
    104,566x = 50,311,387,204
  5. Step 5: Solve for x
    x = 50,311,387,204/104,566
  6. Step 6: Final answer
    x = 481,144.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.