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Finding the Third Proportional to 49,737 and 96,936

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Solution

The third proportional to 49,737 and 96,936 is: 188,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,737 : 96,936 = 96,936 : x
  2. Step 2: Convert to fraction form
    49,737/96,936 = 96,936/x
  3. Step 3: Cross multiply
    49,737x = 96,936 × 96,936
  4. Step 4: Simplify right side
    49,737x = 9,396,588,096
  5. Step 5: Solve for x
    x = 9,396,588,096/49,737
  6. Step 6: Final answer
    x = 188,925.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.