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Finding the Third Proportional to 33,833.50 and 73,082.50

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Solution

The third proportional to 33,833.50 and 73,082.50 is: 157,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.50 : 73,082.50 = 73,082.50 : x
  2. Step 2: Convert to fraction form
    33,833.50/73,082.50 = 73,082.50/x
  3. Step 3: Cross multiply
    33,833.50x = 73,082.50 × 73,082.50
  4. Step 4: Simplify right side
    33,833.50x = 5,341,051,806.25
  5. Step 5: Solve for x
    x = 5,341,051,806.25/33,833.50
  6. Step 6: Final answer
    x = 157,862.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.