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Finding the Third Proportional to 72,906.75 and 114,121.69

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Solution

The third proportional to 72,906.75 and 114,121.69 is: 178,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.75 : 114,121.69 = 114,121.69 : x
  2. Step 2: Convert to fraction form
    72,906.75/114,121.69 = 114,121.69/x
  3. Step 3: Cross multiply
    72,906.75x = 114,121.69 × 114,121.69
  4. Step 4: Simplify right side
    72,906.75x = 13,023,759,557.85
  5. Step 5: Solve for x
    x = 13,023,759,557.85/72,906.75
  6. Step 6: Final answer
    x = 178,635.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.