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Finding the Third Proportional to 180,992 and 386,021

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Solution

The third proportional to 180,992 and 386,021 is: 823,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,992 : 386,021 = 386,021 : x
  2. Step 2: Convert to fraction form
    180,992/386,021 = 386,021/x
  3. Step 3: Cross multiply
    180,992x = 386,021 × 386,021
  4. Step 4: Simplify right side
    180,992x = 149,012,212,441
  5. Step 5: Solve for x
    x = 149,012,212,441/180,992
  6. Step 6: Final answer
    x = 823,308.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.