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Finding the Third Proportional to 91,991 and 198,742

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Solution

The third proportional to 91,991 and 198,742 is: 429,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,991 : 198,742 = 198,742 : x
  2. Step 2: Convert to fraction form
    91,991/198,742 = 198,742/x
  3. Step 3: Cross multiply
    91,991x = 198,742 × 198,742
  4. Step 4: Simplify right side
    91,991x = 39,498,382,564
  5. Step 5: Solve for x
    x = 39,498,382,564/91,991
  6. Step 6: Final answer
    x = 429,372.25

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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.