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Finding the Third Proportional to 128,836.13 and 192,661.88

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Solution

The third proportional to 128,836.13 and 192,661.88 is: 288,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,836.13 : 192,661.88 = 192,661.88 : x
  2. Step 2: Convert to fraction form
    128,836.13/192,661.88 = 192,661.88/x
  3. Step 3: Cross multiply
    128,836.13x = 192,661.88 × 192,661.88
  4. Step 4: Simplify right side
    128,836.13x = 37,118,598,078.52
  5. Step 5: Solve for x
    x = 37,118,598,078.52/128,836.13
  6. Step 6: Final answer
    x = 288,107.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.