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Finding the Third Proportional to 99,847 and 217,190

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Solution

The third proportional to 99,847 and 217,190 is: 472,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,847 : 217,190 = 217,190 : x
  2. Step 2: Convert to fraction form
    99,847/217,190 = 217,190/x
  3. Step 3: Cross multiply
    99,847x = 217,190 × 217,190
  4. Step 4: Simplify right side
    99,847x = 47,171,496,100
  5. Step 5: Solve for x
    x = 47,171,496,100/99,847
  6. Step 6: Final answer
    x = 472,437.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.