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Finding the Third Proportional to 428,904 and 906,192

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Solution

The third proportional to 428,904 and 906,192 is: 1,914,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,904 : 906,192 = 906,192 : x
  2. Step 2: Convert to fraction form
    428,904/906,192 = 906,192/x
  3. Step 3: Cross multiply
    428,904x = 906,192 × 906,192
  4. Step 4: Simplify right side
    428,904x = 821,183,940,864
  5. Step 5: Solve for x
    x = 821,183,940,864/428,904
  6. Step 6: Final answer
    x = 1,914,610.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.