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Finding the Third Proportional to 379,204 and 819,224

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Solution

The third proportional to 379,204 and 819,224 is: 1,769,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,204 : 819,224 = 819,224 : x
  2. Step 2: Convert to fraction form
    379,204/819,224 = 819,224/x
  3. Step 3: Cross multiply
    379,204x = 819,224 × 819,224
  4. Step 4: Simplify right side
    379,204x = 671,127,962,176
  5. Step 5: Solve for x
    x = 671,127,962,176/379,204
  6. Step 6: Final answer
    x = 1,769,833.55

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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.