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Finding the Third Proportional to 398,992 and 853,272

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Solution

The third proportional to 398,992 and 853,272 is: 1,824,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,992 : 853,272 = 853,272 : x
  2. Step 2: Convert to fraction form
    398,992/853,272 = 853,272/x
  3. Step 3: Cross multiply
    398,992x = 853,272 × 853,272
  4. Step 4: Simplify right side
    398,992x = 728,073,105,984
  5. Step 5: Solve for x
    x = 728,073,105,984/398,992
  6. Step 6: Final answer
    x = 1,824,781.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.