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Finding the Third Proportional to 81,904 and 178,628

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Solution

The third proportional to 81,904 and 178,628 is: 389,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904 : 178,628 = 178,628 : x
  2. Step 2: Convert to fraction form
    81,904/178,628 = 178,628/x
  3. Step 3: Cross multiply
    81,904x = 178,628 × 178,628
  4. Step 4: Simplify right side
    81,904x = 31,907,962,384
  5. Step 5: Solve for x
    x = 31,907,962,384/81,904
  6. Step 6: Final answer
    x = 389,577.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.