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Finding the Third Proportional to 309,764 and 636,203

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Solution

The third proportional to 309,764 and 636,203 is: 1,306,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,764 : 636,203 = 636,203 : x
  2. Step 2: Convert to fraction form
    309,764/636,203 = 636,203/x
  3. Step 3: Cross multiply
    309,764x = 636,203 × 636,203
  4. Step 4: Simplify right side
    309,764x = 404,754,257,209
  5. Step 5: Solve for x
    x = 404,754,257,209/309,764
  6. Step 6: Final answer
    x = 1,306,653.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.