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Finding the Third Proportional to 36,933 and 81,021

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Solution

The third proportional to 36,933 and 81,021 is: 177,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,933 : 81,021 = 81,021 : x
  2. Step 2: Convert to fraction form
    36,933/81,021 = 81,021/x
  3. Step 3: Cross multiply
    36,933x = 81,021 × 81,021
  4. Step 4: Simplify right side
    36,933x = 6,564,402,441
  5. Step 5: Solve for x
    x = 6,564,402,441/36,933
  6. Step 6: Final answer
    x = 177,738.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.