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Finding the Third Proportional to 81,810 and 179,235

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Solution

The third proportional to 81,810 and 179,235 is: 392,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,810 : 179,235 = 179,235 : x
  2. Step 2: Convert to fraction form
    81,810/179,235 = 179,235/x
  3. Step 3: Cross multiply
    81,810x = 179,235 × 179,235
  4. Step 4: Simplify right side
    81,810x = 32,125,185,225
  5. Step 5: Solve for x
    x = 32,125,185,225/81,810
  6. Step 6: Final answer
    x = 392,680.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.