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Finding the Third Proportional to 86,919 and 209,324

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Solution

The third proportional to 86,919 and 209,324 is: 504,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,919 : 209,324 = 209,324 : x
  2. Step 2: Convert to fraction form
    86,919/209,324 = 209,324/x
  3. Step 3: Cross multiply
    86,919x = 209,324 × 209,324
  4. Step 4: Simplify right side
    86,919x = 43,816,536,976
  5. Step 5: Solve for x
    x = 43,816,536,976/86,919
  6. Step 6: Final answer
    x = 504,107.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.