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Finding the Third Proportional to 380,976 and 814,438

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Solution

The third proportional to 380,976 and 814,438 is: 1,741,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,976 : 814,438 = 814,438 : x
  2. Step 2: Convert to fraction form
    380,976/814,438 = 814,438/x
  3. Step 3: Cross multiply
    380,976x = 814,438 × 814,438
  4. Step 4: Simplify right side
    380,976x = 663,309,255,844
  5. Step 5: Solve for x
    x = 663,309,255,844/380,976
  6. Step 6: Final answer
    x = 1,741,078.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.