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Finding the Third Proportional to 80,811 and 176,309

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Solution

The third proportional to 80,811 and 176,309 is: 384,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,811 : 176,309 = 176,309 : x
  2. Step 2: Convert to fraction form
    80,811/176,309 = 176,309/x
  3. Step 3: Cross multiply
    80,811x = 176,309 × 176,309
  4. Step 4: Simplify right side
    80,811x = 31,084,863,481
  5. Step 5: Solve for x
    x = 31,084,863,481/80,811
  6. Step 6: Final answer
    x = 384,661.29

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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.