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Finding the Third Proportional to 428,912 and 906,208

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Solution

The third proportional to 428,912 and 906,208 is: 1,914,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,912 : 906,208 = 906,208 : x
  2. Step 2: Convert to fraction form
    428,912/906,208 = 906,208/x
  3. Step 3: Cross multiply
    428,912x = 906,208 × 906,208
  4. Step 4: Simplify right side
    428,912x = 821,212,939,264
  5. Step 5: Solve for x
    x = 821,212,939,264/428,912
  6. Step 6: Final answer
    x = 1,914,642.02

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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.