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Finding the Third Proportional to 72,012 and 107,266

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Solution

The third proportional to 72,012 and 107,266 is: 159,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,012 : 107,266 = 107,266 : x
  2. Step 2: Convert to fraction form
    72,012/107,266 = 107,266/x
  3. Step 3: Cross multiply
    72,012x = 107,266 × 107,266
  4. Step 4: Simplify right side
    72,012x = 11,505,994,756
  5. Step 5: Solve for x
    x = 11,505,994,756/72,012
  6. Step 6: Final answer
    x = 159,778.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.