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Finding the Third Proportional to 101,191 and 217,690

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Solution

The third proportional to 101,191 and 217,690 is: 468,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,191 : 217,690 = 217,690 : x
  2. Step 2: Convert to fraction form
    101,191/217,690 = 217,690/x
  3. Step 3: Cross multiply
    101,191x = 217,690 × 217,690
  4. Step 4: Simplify right side
    101,191x = 47,388,936,100
  5. Step 5: Solve for x
    x = 47,388,936,100/101,191
  6. Step 6: Final answer
    x = 468,311.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.