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Finding the Third Proportional to 187,962 and 405,268

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Solution

The third proportional to 187,962 and 405,268 is: 873,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,962 : 405,268 = 405,268 : x
  2. Step 2: Convert to fraction form
    187,962/405,268 = 405,268/x
  3. Step 3: Cross multiply
    187,962x = 405,268 × 405,268
  4. Step 4: Simplify right side
    187,962x = 164,242,151,824
  5. Step 5: Solve for x
    x = 164,242,151,824/187,962
  6. Step 6: Final answer
    x = 873,805.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.