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Finding the Third Proportional to 239,984.91 and 515,584.27

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Solution

The third proportional to 239,984.91 and 515,584.27 is: 1,107,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,984.91 : 515,584.27 = 515,584.27 : x
  2. Step 2: Convert to fraction form
    239,984.91/515,584.27 = 515,584.27/x
  3. Step 3: Cross multiply
    239,984.91x = 515,584.27 × 515,584.27
  4. Step 4: Simplify right side
    239,984.91x = 265,827,134,960.07
  5. Step 5: Solve for x
    x = 265,827,134,960.07/239,984.91
  6. Step 6: Final answer
    x = 1,107,682.73

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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.