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Finding the Third Proportional to 111,450 and 169,305

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Solution

The third proportional to 111,450 and 169,305 is: 257,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,450 : 169,305 = 169,305 : x
  2. Step 2: Convert to fraction form
    111,450/169,305 = 169,305/x
  3. Step 3: Cross multiply
    111,450x = 169,305 × 169,305
  4. Step 4: Simplify right side
    111,450x = 28,664,183,025
  5. Step 5: Solve for x
    x = 28,664,183,025/111,450
  6. Step 6: Final answer
    x = 257,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.