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Finding the Third Proportional to 239,977.69 and 518,440.50

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Solution

The third proportional to 239,977.69 and 518,440.50 is: 1,120,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,977.69 : 518,440.50 = 518,440.50 : x
  2. Step 2: Convert to fraction form
    239,977.69/518,440.50 = 518,440.50/x
  3. Step 3: Cross multiply
    239,977.69x = 518,440.50 × 518,440.50
  4. Step 4: Simplify right side
    239,977.69x = 268,780,552,040.25
  5. Step 5: Solve for x
    x = 268,780,552,040.25/239,977.69
  6. Step 6: Final answer
    x = 1,120,023.09

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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.