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Finding the Third Proportional to 33,594 and 73,236

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Solution

The third proportional to 33,594 and 73,236 is: 159,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594 : 73,236 = 73,236 : x
  2. Step 2: Convert to fraction form
    33,594/73,236 = 73,236/x
  3. Step 3: Cross multiply
    33,594x = 73,236 × 73,236
  4. Step 4: Simplify right side
    33,594x = 5,363,511,696
  5. Step 5: Solve for x
    x = 5,363,511,696/33,594
  6. Step 6: Final answer
    x = 159,656.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.