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Finding the Third Proportional to 379,302 and 814,830

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Solution

The third proportional to 379,302 and 814,830 is: 1,750,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,302 : 814,830 = 814,830 : x
  2. Step 2: Convert to fraction form
    379,302/814,830 = 814,830/x
  3. Step 3: Cross multiply
    379,302x = 814,830 × 814,830
  4. Step 4: Simplify right side
    379,302x = 663,947,928,900
  5. Step 5: Solve for x
    x = 663,947,928,900/379,302
  6. Step 6: Final answer
    x = 1,750,446.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.