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Finding the Third Proportional to 380,826 and 814,149

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Solution

The third proportional to 380,826 and 814,149 is: 1,740,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,826 : 814,149 = 814,149 : x
  2. Step 2: Convert to fraction form
    380,826/814,149 = 814,149/x
  3. Step 3: Cross multiply
    380,826x = 814,149 × 814,149
  4. Step 4: Simplify right side
    380,826x = 662,838,594,201
  5. Step 5: Solve for x
    x = 662,838,594,201/380,826
  6. Step 6: Final answer
    x = 1,740,528.73

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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.