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Finding the Third Proportional to 8,120.25 and 17,627.63

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Solution

The third proportional to 8,120.25 and 17,627.63 is: 38,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.25 : 17,627.63 = 17,627.63 : x
  2. Step 2: Convert to fraction form
    8,120.25/17,627.63 = 17,627.63/x
  3. Step 3: Cross multiply
    8,120.25x = 17,627.63 × 17,627.63
  4. Step 4: Simplify right side
    8,120.25x = 310,733,163.14
  5. Step 5: Solve for x
    x = 310,733,163.14/8,120.25
  6. Step 6: Final answer
    x = 38,266.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.