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Finding the Third Proportional to 428,427 and 940,916

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Solution

The third proportional to 428,427 and 940,916 is: 2,066,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,427 : 940,916 = 940,916 : x
  2. Step 2: Convert to fraction form
    428,427/940,916 = 940,916/x
  3. Step 3: Cross multiply
    428,427x = 940,916 × 940,916
  4. Step 4: Simplify right side
    428,427x = 885,322,919,056
  5. Step 5: Solve for x
    x = 885,322,919,056/428,427
  6. Step 6: Final answer
    x = 2,066,449.87

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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.