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Finding the Third Proportional to 286,917 and 617,736

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Solution

The third proportional to 286,917 and 617,736 is: 1,329,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,917 : 617,736 = 617,736 : x
  2. Step 2: Convert to fraction form
    286,917/617,736 = 617,736/x
  3. Step 3: Cross multiply
    286,917x = 617,736 × 617,736
  4. Step 4: Simplify right side
    286,917x = 381,597,765,696
  5. Step 5: Solve for x
    x = 381,597,765,696/286,917
  6. Step 6: Final answer
    x = 1,329,993.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.