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Finding the Third Proportional to 85,770 and 188,991

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Solution

The third proportional to 85,770 and 188,991 is: 416,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,770 : 188,991 = 188,991 : x
  2. Step 2: Convert to fraction form
    85,770/188,991 = 188,991/x
  3. Step 3: Cross multiply
    85,770x = 188,991 × 188,991
  4. Step 4: Simplify right side
    85,770x = 35,717,598,081
  5. Step 5: Solve for x
    x = 35,717,598,081/85,770
  6. Step 6: Final answer
    x = 416,434.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.