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Finding the Third Proportional to 379,064 and 817,172

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Solution

The third proportional to 379,064 and 817,172 is: 1,761,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,064 : 817,172 = 817,172 : x
  2. Step 2: Convert to fraction form
    379,064/817,172 = 817,172/x
  3. Step 3: Cross multiply
    379,064x = 817,172 × 817,172
  4. Step 4: Simplify right side
    379,064x = 667,770,077,584
  5. Step 5: Solve for x
    x = 667,770,077,584/379,064
  6. Step 6: Final answer
    x = 1,761,628.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.