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Finding the Third Proportional to 121,812 and 271,305

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Solution

The third proportional to 121,812 and 271,305 is: 604,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,812 : 271,305 = 271,305 : x
  2. Step 2: Convert to fraction form
    121,812/271,305 = 271,305/x
  3. Step 3: Cross multiply
    121,812x = 271,305 × 271,305
  4. Step 4: Simplify right side
    121,812x = 73,606,403,025
  5. Step 5: Solve for x
    x = 73,606,403,025/121,812
  6. Step 6: Final answer
    x = 604,262.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.