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Finding the Third Proportional to 309,744 and 636,163.88

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Solution

The third proportional to 309,744 and 636,163.88 is: 1,306,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,744 : 636,163.88 = 636,163.88 : x
  2. Step 2: Convert to fraction form
    309,744/636,163.88 = 636,163.88/x
  3. Step 3: Cross multiply
    309,744x = 636,163.88 × 636,163.88
  4. Step 4: Simplify right side
    309,744x = 404,704,475,855.02
  5. Step 5: Solve for x
    x = 404,704,475,855.02/309,744
  6. Step 6: Final answer
    x = 1,306,577.29

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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.