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Finding the Third Proportional to 239,826 and 518,072

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Solution

The third proportional to 239,826 and 518,072 is: 1,119,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,826 : 518,072 = 518,072 : x
  2. Step 2: Convert to fraction form
    239,826/518,072 = 518,072/x
  3. Step 3: Cross multiply
    239,826x = 518,072 × 518,072
  4. Step 4: Simplify right side
    239,826x = 268,398,597,184
  5. Step 5: Solve for x
    x = 268,398,597,184/239,826
  6. Step 6: Final answer
    x = 1,119,138.86

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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.