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Finding the Third Proportional to 7,988.63 and 11,977.88

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Solution

The third proportional to 7,988.63 and 11,977.88 is: 17,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.63 : 11,977.88 = 11,977.88 : x
  2. Step 2: Convert to fraction form
    7,988.63/11,977.88 = 11,977.88/x
  3. Step 3: Cross multiply
    7,988.63x = 11,977.88 × 11,977.88
  4. Step 4: Simplify right side
    7,988.63x = 143,469,489.52
  5. Step 5: Solve for x
    x = 143,469,489.52/7,988.63
  6. Step 6: Final answer
    x = 17,959.22

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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.