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Finding the Third Proportional to 239,978 and 518,440

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Solution

The third proportional to 239,978 and 518,440 is: 1,120,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,978 : 518,440 = 518,440 : x
  2. Step 2: Convert to fraction form
    239,978/518,440 = 518,440/x
  3. Step 3: Cross multiply
    239,978x = 518,440 × 518,440
  4. Step 4: Simplify right side
    239,978x = 268,780,033,600
  5. Step 5: Solve for x
    x = 268,780,033,600/239,978
  6. Step 6: Final answer
    x = 1,120,019.48

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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.