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Finding the Third Proportional to 239,979.38 and 518,443.88

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Solution

The third proportional to 239,979.38 and 518,443.88 is: 1,120,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,979.38 : 518,443.88 = 518,443.88 : x
  2. Step 2: Convert to fraction form
    239,979.38/518,443.88 = 518,443.88/x
  3. Step 3: Cross multiply
    239,979.38x = 518,443.88 × 518,443.88
  4. Step 4: Simplify right side
    239,979.38x = 268,784,051,525.02
  5. Step 5: Solve for x
    x = 268,784,051,525.02/239,979.38
  6. Step 6: Final answer
    x = 1,120,029.80

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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.