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Finding the Third Proportional to 16,737 and 33,054

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Solution

The third proportional to 16,737 and 33,054 is: 65,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737 : 33,054 = 33,054 : x
  2. Step 2: Convert to fraction form
    16,737/33,054 = 33,054/x
  3. Step 3: Cross multiply
    16,737x = 33,054 × 33,054
  4. Step 4: Simplify right side
    16,737x = 1,092,566,916
  5. Step 5: Solve for x
    x = 1,092,566,916/16,737
  6. Step 6: Final answer
    x = 65,278.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.