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Finding the Third Proportional to 204,416 and 448,256

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Solution

The third proportional to 204,416 and 448,256 is: 982,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,416 : 448,256 = 448,256 : x
  2. Step 2: Convert to fraction form
    204,416/448,256 = 448,256/x
  3. Step 3: Cross multiply
    204,416x = 448,256 × 448,256
  4. Step 4: Simplify right side
    204,416x = 200,933,441,536
  5. Step 5: Solve for x
    x = 200,933,441,536/204,416
  6. Step 6: Final answer
    x = 982,963.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.