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Finding the Third Proportional to 50,852 and 118,108

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Solution

The third proportional to 50,852 and 118,108 is: 274,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,852 : 118,108 = 118,108 : x
  2. Step 2: Convert to fraction form
    50,852/118,108 = 118,108/x
  3. Step 3: Cross multiply
    50,852x = 118,108 × 118,108
  4. Step 4: Simplify right side
    50,852x = 13,949,499,664
  5. Step 5: Solve for x
    x = 13,949,499,664/50,852
  6. Step 6: Final answer
    x = 274,315.65

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.