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Finding the Third Proportional to 115,986.94 and 128,197.69

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Solution

The third proportional to 115,986.94 and 128,197.69 is: 141,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986.94 : 128,197.69 = 128,197.69 : x
  2. Step 2: Convert to fraction form
    115,986.94/128,197.69 = 128,197.69/x
  3. Step 3: Cross multiply
    115,986.94x = 128,197.69 × 128,197.69
  4. Step 4: Simplify right side
    115,986.94x = 16,434,647,080.35
  5. Step 5: Solve for x
    x = 16,434,647,080.35/115,986.94
  6. Step 6: Final answer
    x = 141,693.95

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.