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Finding the Third Proportional to 313,498 and 664,256

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Solution

The third proportional to 313,498 and 664,256 is: 1,407,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,498 : 664,256 = 664,256 : x
  2. Step 2: Convert to fraction form
    313,498/664,256 = 664,256/x
  3. Step 3: Cross multiply
    313,498x = 664,256 × 664,256
  4. Step 4: Simplify right side
    313,498x = 441,236,033,536
  5. Step 5: Solve for x
    x = 441,236,033,536/313,498
  6. Step 6: Final answer
    x = 1,407,460.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.