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Finding the Third Proportional to 66,865.50 and 161,109

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Solution

The third proportional to 66,865.50 and 161,109 is: 388,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,865.50 : 161,109 = 161,109 : x
  2. Step 2: Convert to fraction form
    66,865.50/161,109 = 161,109/x
  3. Step 3: Cross multiply
    66,865.50x = 161,109 × 161,109
  4. Step 4: Simplify right side
    66,865.50x = 25,956,109,881
  5. Step 5: Solve for x
    x = 25,956,109,881/66,865.50
  6. Step 6: Final answer
    x = 388,183.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.