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Finding the Third Proportional to 197,824 and 439,872

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Solution

The third proportional to 197,824 and 439,872 is: 978,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,824 : 439,872 = 439,872 : x
  2. Step 2: Convert to fraction form
    197,824/439,872 = 439,872/x
  3. Step 3: Cross multiply
    197,824x = 439,872 × 439,872
  4. Step 4: Simplify right side
    197,824x = 193,487,376,384
  5. Step 5: Solve for x
    x = 193,487,376,384/197,824
  6. Step 6: Final answer
    x = 978,078.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.