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Finding the Third Proportional to 18,200.25 and 28,272.38

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Solution

The third proportional to 18,200.25 and 28,272.38 is: 43,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.25 : 28,272.38 = 28,272.38 : x
  2. Step 2: Convert to fraction form
    18,200.25/28,272.38 = 28,272.38/x
  3. Step 3: Cross multiply
    18,200.25x = 28,272.38 × 28,272.38
  4. Step 4: Simplify right side
    18,200.25x = 799,327,188.14
  5. Step 5: Solve for x
    x = 799,327,188.14/18,200.25
  6. Step 6: Final answer
    x = 43,918.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.