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Finding the Third Proportional to 33,981.19 and 73,806.19

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Solution

The third proportional to 33,981.19 and 73,806.19 is: 160,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,981.19 : 73,806.19 = 73,806.19 : x
  2. Step 2: Convert to fraction form
    33,981.19/73,806.19 = 73,806.19/x
  3. Step 3: Cross multiply
    33,981.19x = 73,806.19 × 73,806.19
  4. Step 4: Simplify right side
    33,981.19x = 5,447,353,313.29
  5. Step 5: Solve for x
    x = 5,447,353,313.29/33,981.19
  6. Step 6: Final answer
    x = 160,304.97

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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.