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Finding the Third Proportional to 416,869 and 879,674

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Solution

The third proportional to 416,869 and 879,674 is: 1,856,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,869 : 879,674 = 879,674 : x
  2. Step 2: Convert to fraction form
    416,869/879,674 = 879,674/x
  3. Step 3: Cross multiply
    416,869x = 879,674 × 879,674
  4. Step 4: Simplify right side
    416,869x = 773,826,346,276
  5. Step 5: Solve for x
    x = 773,826,346,276/416,869
  6. Step 6: Final answer
    x = 1,856,281.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.