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Finding the Third Proportional to 109,546 and 169,149

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Solution

The third proportional to 109,546 and 169,149 is: 261,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,546 : 169,149 = 169,149 : x
  2. Step 2: Convert to fraction form
    109,546/169,149 = 169,149/x
  3. Step 3: Cross multiply
    109,546x = 169,149 × 169,149
  4. Step 4: Simplify right side
    109,546x = 28,611,384,201
  5. Step 5: Solve for x
    x = 28,611,384,201/109,546
  6. Step 6: Final answer
    x = 261,181.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.