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Finding the Third Proportional to 81,672 and 166,800

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Solution

The third proportional to 81,672 and 166,800 is: 340,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672 : 166,800 = 166,800 : x
  2. Step 2: Convert to fraction form
    81,672/166,800 = 166,800/x
  3. Step 3: Cross multiply
    81,672x = 166,800 × 166,800
  4. Step 4: Simplify right side
    81,672x = 27,822,240,000
  5. Step 5: Solve for x
    x = 27,822,240,000/81,672
  6. Step 6: Final answer
    x = 340,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.