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Finding the Third Proportional to 90,991 and 196,886

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Solution

The third proportional to 90,991 and 196,886 is: 426,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,991 : 196,886 = 196,886 : x
  2. Step 2: Convert to fraction form
    90,991/196,886 = 196,886/x
  3. Step 3: Cross multiply
    90,991x = 196,886 × 196,886
  4. Step 4: Simplify right side
    90,991x = 38,764,096,996
  5. Step 5: Solve for x
    x = 38,764,096,996/90,991
  6. Step 6: Final answer
    x = 426,021.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.