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Finding the Third Proportional to 428,382 and 940,845

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Solution

The third proportional to 428,382 and 940,845 is: 2,066,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,382 : 940,845 = 940,845 : x
  2. Step 2: Convert to fraction form
    428,382/940,845 = 940,845/x
  3. Step 3: Cross multiply
    428,382x = 940,845 × 940,845
  4. Step 4: Simplify right side
    428,382x = 885,189,314,025
  5. Step 5: Solve for x
    x = 885,189,314,025/428,382
  6. Step 6: Final answer
    x = 2,066,355.06

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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.