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Finding the Third Proportional to 81,718 and 193,212

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Solution

The third proportional to 81,718 and 193,212 is: 456,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,718 : 193,212 = 193,212 : x
  2. Step 2: Convert to fraction form
    81,718/193,212 = 193,212/x
  3. Step 3: Cross multiply
    81,718x = 193,212 × 193,212
  4. Step 4: Simplify right side
    81,718x = 37,330,876,944
  5. Step 5: Solve for x
    x = 37,330,876,944/81,718
  6. Step 6: Final answer
    x = 456,825.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.