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Finding the Third Proportional to 240,906 and 518,812

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Solution

The third proportional to 240,906 and 518,812 is: 1,117,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,906 : 518,812 = 518,812 : x
  2. Step 2: Convert to fraction form
    240,906/518,812 = 518,812/x
  3. Step 3: Cross multiply
    240,906x = 518,812 × 518,812
  4. Step 4: Simplify right side
    240,906x = 269,165,891,344
  5. Step 5: Solve for x
    x = 269,165,891,344/240,906
  6. Step 6: Final answer
    x = 1,117,306.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.