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Finding the Third Proportional to 311,203 and 633,818

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Solution

The third proportional to 311,203 and 633,818 is: 1,290,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,203 : 633,818 = 633,818 : x
  2. Step 2: Convert to fraction form
    311,203/633,818 = 633,818/x
  3. Step 3: Cross multiply
    311,203x = 633,818 × 633,818
  4. Step 4: Simplify right side
    311,203x = 401,725,257,124
  5. Step 5: Solve for x
    x = 401,725,257,124/311,203
  6. Step 6: Final answer
    x = 1,290,878.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.