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Finding the Third Proportional to 13,645.13 and 33,186.38

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Solution

The third proportional to 13,645.13 and 33,186.38 is: 80,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.13 : 33,186.38 = 33,186.38 : x
  2. Step 2: Convert to fraction form
    13,645.13/33,186.38 = 33,186.38/x
  3. Step 3: Cross multiply
    13,645.13x = 33,186.38 × 33,186.38
  4. Step 4: Simplify right side
    13,645.13x = 1,101,335,485.64
  5. Step 5: Solve for x
    x = 1,101,335,485.64/13,645.13
  6. Step 6: Final answer
    x = 80,712.74

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.