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Finding the Third Proportional to 431,170 and 906,992

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Solution

The third proportional to 431,170 and 906,992 is: 1,907,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,170 : 906,992 = 906,992 : x
  2. Step 2: Convert to fraction form
    431,170/906,992 = 906,992/x
  3. Step 3: Cross multiply
    431,170x = 906,992 × 906,992
  4. Step 4: Simplify right side
    431,170x = 822,634,488,064
  5. Step 5: Solve for x
    x = 822,634,488,064/431,170
  6. Step 6: Final answer
    x = 1,907,912.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.