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Finding the Third Proportional to 206,240 and 447,256

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Solution

The third proportional to 206,240 and 447,256 is: 969,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,240 : 447,256 = 447,256 : x
  2. Step 2: Convert to fraction form
    206,240/447,256 = 447,256/x
  3. Step 3: Cross multiply
    206,240x = 447,256 × 447,256
  4. Step 4: Simplify right side
    206,240x = 200,037,929,536
  5. Step 5: Solve for x
    x = 200,037,929,536/206,240
  6. Step 6: Final answer
    x = 969,927.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.