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Finding the Third Proportional to 379,424 and 878,412

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Solution

The third proportional to 379,424 and 878,412 is: 2,033,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,424 : 878,412 = 878,412 : x
  2. Step 2: Convert to fraction form
    379,424/878,412 = 878,412/x
  3. Step 3: Cross multiply
    379,424x = 878,412 × 878,412
  4. Step 4: Simplify right side
    379,424x = 771,607,641,744
  5. Step 5: Solve for x
    x = 771,607,641,744/379,424
  6. Step 6: Final answer
    x = 2,033,628.98

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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.