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Finding the Third Proportional to 239,226 and 517,818

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Solution

The third proportional to 239,226 and 517,818 is: 1,120,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,226 : 517,818 = 517,818 : x
  2. Step 2: Convert to fraction form
    239,226/517,818 = 517,818/x
  3. Step 3: Cross multiply
    239,226x = 517,818 × 517,818
  4. Step 4: Simplify right side
    239,226x = 268,135,481,124
  5. Step 5: Solve for x
    x = 268,135,481,124/239,226
  6. Step 6: Final answer
    x = 1,120,845.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.