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Finding the Third Proportional to 81,800 and 173,031

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Solution

The third proportional to 81,800 and 173,031 is: 366,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,800 : 173,031 = 173,031 : x
  2. Step 2: Convert to fraction form
    81,800/173,031 = 173,031/x
  3. Step 3: Cross multiply
    81,800x = 173,031 × 173,031
  4. Step 4: Simplify right side
    81,800x = 29,939,726,961
  5. Step 5: Solve for x
    x = 29,939,726,961/81,800
  6. Step 6: Final answer
    x = 366,011.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.