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Finding the Third Proportional to 204,476 and 449,560

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Solution

The third proportional to 204,476 and 449,560 is: 988,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476 : 449,560 = 449,560 : x
  2. Step 2: Convert to fraction form
    204,476/449,560 = 449,560/x
  3. Step 3: Cross multiply
    204,476x = 449,560 × 449,560
  4. Step 4: Simplify right side
    204,476x = 202,104,193,600
  5. Step 5: Solve for x
    x = 202,104,193,600/204,476
  6. Step 6: Final answer
    x = 988,400.56

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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.