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Finding the Third Proportional to 81,610 and 179,257

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Solution

The third proportional to 81,610 and 179,257 is: 393,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610 : 179,257 = 179,257 : x
  2. Step 2: Convert to fraction form
    81,610/179,257 = 179,257/x
  3. Step 3: Cross multiply
    81,610x = 179,257 × 179,257
  4. Step 4: Simplify right side
    81,610x = 32,133,072,049
  5. Step 5: Solve for x
    x = 32,133,072,049/81,610
  6. Step 6: Final answer
    x = 393,739.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.