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Finding the Third Proportional to 428,415 and 940,917

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Solution

The third proportional to 428,415 and 940,917 is: 2,066,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,415 : 940,917 = 940,917 : x
  2. Step 2: Convert to fraction form
    428,415/940,917 = 940,917/x
  3. Step 3: Cross multiply
    428,415x = 940,917 × 940,917
  4. Step 4: Simplify right side
    428,415x = 885,324,800,889
  5. Step 5: Solve for x
    x = 885,324,800,889/428,415
  6. Step 6: Final answer
    x = 2,066,512.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.