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Finding the Third Proportional to 379,410 and 878,379

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Solution

The third proportional to 379,410 and 878,379 is: 2,033,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,410 : 878,379 = 878,379 : x
  2. Step 2: Convert to fraction form
    379,410/878,379 = 878,379/x
  3. Step 3: Cross multiply
    379,410x = 878,379 × 878,379
  4. Step 4: Simplify right side
    379,410x = 771,549,667,641
  5. Step 5: Solve for x
    x = 771,549,667,641/379,410
  6. Step 6: Final answer
    x = 2,033,551.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.