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Finding the Third Proportional to 7,989.10 and 11,983.65

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Solution

The third proportional to 7,989.10 and 11,983.65 is: 17,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.10 : 11,983.65 = 11,983.65 : x
  2. Step 2: Convert to fraction form
    7,989.10/11,983.65 = 11,983.65/x
  3. Step 3: Cross multiply
    7,989.10x = 11,983.65 × 11,983.65
  4. Step 4: Simplify right side
    7,989.10x = 143,607,853.28
  5. Step 5: Solve for x
    x = 143,607,853.28/7,989.10
  6. Step 6: Final answer
    x = 17,975.47

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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.