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Finding the Third Proportional to 72,066 and 107,811

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Solution

The third proportional to 72,066 and 107,811 is: 161,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,066 : 107,811 = 107,811 : x
  2. Step 2: Convert to fraction form
    72,066/107,811 = 107,811/x
  3. Step 3: Cross multiply
    72,066x = 107,811 × 107,811
  4. Step 4: Simplify right side
    72,066x = 11,623,211,721
  5. Step 5: Solve for x
    x = 11,623,211,721/72,066
  6. Step 6: Final answer
    x = 161,285.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.