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Finding the Third Proportional to 379,299 and 806,869

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Solution

The third proportional to 379,299 and 806,869 is: 1,716,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,299 : 806,869 = 806,869 : x
  2. Step 2: Convert to fraction form
    379,299/806,869 = 806,869/x
  3. Step 3: Cross multiply
    379,299x = 806,869 × 806,869
  4. Step 4: Simplify right side
    379,299x = 651,037,583,161
  5. Step 5: Solve for x
    x = 651,037,583,161/379,299
  6. Step 6: Final answer
    x = 1,716,423.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.