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Finding the Third Proportional to 170,109 and 366,218

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Solution

The third proportional to 170,109 and 366,218 is: 788,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,109 : 366,218 = 366,218 : x
  2. Step 2: Convert to fraction form
    170,109/366,218 = 366,218/x
  3. Step 3: Cross multiply
    170,109x = 366,218 × 366,218
  4. Step 4: Simplify right side
    170,109x = 134,115,623,524
  5. Step 5: Solve for x
    x = 134,115,623,524/170,109
  6. Step 6: Final answer
    x = 788,409.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.