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Finding the Third Proportional to 36,540 and 81,396

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Solution

The third proportional to 36,540 and 81,396 is: 181,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 81,396 = 81,396 : x
  2. Step 2: Convert to fraction form
    36,540/81,396 = 81,396/x
  3. Step 3: Cross multiply
    36,540x = 81,396 × 81,396
  4. Step 4: Simplify right side
    36,540x = 6,625,308,816
  5. Step 5: Solve for x
    x = 6,625,308,816/36,540
  6. Step 6: Final answer
    x = 181,316.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.