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Finding the Third Proportional to 49,680 and 72,936

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Solution

The third proportional to 49,680 and 72,936 is: 107,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 72,936 = 72,936 : x
  2. Step 2: Convert to fraction form
    49,680/72,936 = 72,936/x
  3. Step 3: Cross multiply
    49,680x = 72,936 × 72,936
  4. Step 4: Simplify right side
    49,680x = 5,319,660,096
  5. Step 5: Solve for x
    x = 5,319,660,096/49,680
  6. Step 6: Final answer
    x = 107,078.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.