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Finding the Third Proportional to 428,896 and 906,176

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Solution

The third proportional to 428,896 and 906,176 is: 1,914,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,896 : 906,176 = 906,176 : x
  2. Step 2: Convert to fraction form
    428,896/906,176 = 906,176/x
  3. Step 3: Cross multiply
    428,896x = 906,176 × 906,176
  4. Step 4: Simplify right side
    428,896x = 821,154,942,976
  5. Step 5: Solve for x
    x = 821,154,942,976/428,896
  6. Step 6: Final answer
    x = 1,914,578.23

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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.