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Finding the Third Proportional to 239,991.50 and 509,497

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Solution

The third proportional to 239,991.50 and 509,497 is: 1,081,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,991.50 : 509,497 = 509,497 : x
  2. Step 2: Convert to fraction form
    239,991.50/509,497 = 509,497/x
  3. Step 3: Cross multiply
    239,991.50x = 509,497 × 509,497
  4. Step 4: Simplify right side
    239,991.50x = 259,587,193,009
  5. Step 5: Solve for x
    x = 259,587,193,009/239,991.50
  6. Step 6: Final answer
    x = 1,081,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.