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Finding the Third Proportional to 169,078 and 393,161

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Solution

The third proportional to 169,078 and 393,161 is: 914,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,078 : 393,161 = 393,161 : x
  2. Step 2: Convert to fraction form
    169,078/393,161 = 393,161/x
  3. Step 3: Cross multiply
    169,078x = 393,161 × 393,161
  4. Step 4: Simplify right side
    169,078x = 154,575,571,921
  5. Step 5: Solve for x
    x = 154,575,571,921/169,078
  6. Step 6: Final answer
    x = 914,226.40

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.