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Finding the Third Proportional to 169,869 and 254,775

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Solution

The third proportional to 169,869 and 254,775 is: 382,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,869 : 254,775 = 254,775 : x
  2. Step 2: Convert to fraction form
    169,869/254,775 = 254,775/x
  3. Step 3: Cross multiply
    169,869x = 254,775 × 254,775
  4. Step 4: Simplify right side
    169,869x = 64,910,300,625
  5. Step 5: Solve for x
    x = 64,910,300,625/169,869
  6. Step 6: Final answer
    x = 382,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.