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Finding the Third Proportional to 297,675 and 642,006

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Solution

The third proportional to 297,675 and 642,006 is: 1,384,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,675 : 642,006 = 642,006 : x
  2. Step 2: Convert to fraction form
    297,675/642,006 = 642,006/x
  3. Step 3: Cross multiply
    297,675x = 642,006 × 642,006
  4. Step 4: Simplify right side
    297,675x = 412,171,704,036
  5. Step 5: Solve for x
    x = 412,171,704,036/297,675
  6. Step 6: Final answer
    x = 1,384,636.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.