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Finding the Third Proportional to 339,864 and 509,924

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Solution

The third proportional to 339,864 and 509,924 is: 765,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,864 : 509,924 = 509,924 : x
  2. Step 2: Convert to fraction form
    339,864/509,924 = 509,924/x
  3. Step 3: Cross multiply
    339,864x = 509,924 × 509,924
  4. Step 4: Simplify right side
    339,864x = 260,022,485,776
  5. Step 5: Solve for x
    x = 260,022,485,776/339,864
  6. Step 6: Final answer
    x = 765,078.05

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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.