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Finding the Third Proportional to 33,737.63 and 72,583.25

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Solution

The third proportional to 33,737.63 and 72,583.25 is: 156,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,737.63 : 72,583.25 = 72,583.25 : x
  2. Step 2: Convert to fraction form
    33,737.63/72,583.25 = 72,583.25/x
  3. Step 3: Cross multiply
    33,737.63x = 72,583.25 × 72,583.25
  4. Step 4: Simplify right side
    33,737.63x = 5,268,328,180.56
  5. Step 5: Solve for x
    x = 5,268,328,180.56/33,737.63
  6. Step 6: Final answer
    x = 156,155.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.